Primordial black holes and curvature perturbations from false vacuum islands
Abstract: Recently, much attention has been focused on the false vacuum islands that are flooded by an expanding ocean of true-vacuum bubbles slightly later than most of the other parts of the world. These delayed decay regions will accumulate locally larger vacuum energy density by staying in the false vacuum longer than those already transited into the true vacuum. A false vacuum island with thus acquired density contrast of a super-horizon size will evolve locally from radiation dominance to vacuum dominance, creating a local baby Universe that can be regarded effectively as a local closed Universe. If such density contrasts of super-horizon sizes can ever grow large enough to exceed the threshold of gravitational collapse, primordial black holes will form similar to those collapsing curvature perturbations on super-horizon scales induced by small-scale enhancements during inflation. If not, such density contrasts can still induce curvature perturbations potentially observable today. In this paper, we revisit and elaborate on the generations of primordial black holes and curvature perturbations from delayed-decayed false vacuum islands during asynchronous first-order phase transitions with fitting formulas convenient for future model-independent studies.
- Anupam Mazumdar and Graham White, “Review of cosmic phase transitions: their significance and experimental signatures,” Rept. Prog. Phys. 82, 076901 (2019), arXiv:1811.01948 [hep-ph] .
- Robert Caldwell et al., “Detection of early-universe gravitational-wave signatures and fundamental physics,” Gen. Rel. Grav. 54, 156 (2022), arXiv:2203.07972 [gr-qc] .
- Peter Athron, Csaba Balázs, Andrew Fowlie, Lachlan Morris, and Lei Wu, “Cosmological phase transitions: From perturbative particle physics to gravitational waves,” Prog. Part. Nucl. Phys. 135, 104094 (2024), arXiv:2305.02357 [hep-ph] .
- Rong-Gen Cai, Zhoujian Cao, Zong-Kuan Guo, Shao-Jiang Wang, and Tao Yang, “The Gravitational-Wave Physics,” Natl. Sci. Rev. 4, 687–706 (2017a), arXiv:1703.00187 [gr-qc] .
- Ligong Bian et al., “The Gravitational-wave physics II: Progress,” Sci. China Phys. Mech. Astron. 64, 120401 (2021), arXiv:2106.10235 [gr-qc] .
- Chiara Caprini et al., “Science with the space-based interferometer eLISA. II: Gravitational waves from cosmological phase transitions,” JCAP 1604, 001 (2016), arXiv:1512.06239 [astro-ph.CO] .
- Chiara Caprini et al., “Detecting gravitational waves from cosmological phase transitions with LISA: an update,” JCAP 2003, 024 (2020), arXiv:1910.13125 [astro-ph.CO] .
- Pierre Auclair et al. (LISA Cosmology Working Group), “Cosmology with the Laser Interferometer Space Antenna,” Living Rev. Rel. 26, 5 (2023), arXiv:2204.05434 [astro-ph.CO] .
- M. Armano et al., ‘‘Sub-Femto- g Free Fall for Space-Based Gravitational Wave Observatories: LISA Pathfinder Results,” Phys. Rev. Lett. 116, 231101 (2016).
- Pau Amaro-Seoane et al. (LISA), “Laser Interferometer Space Antenna,” (2017), arXiv:1702.00786 [astro-ph.IM] .
- Pau Amaro Seoane et al. (LISA), “Astrophysics with the Laser Interferometer Space Antenna,” Living Rev. Rel. 26, 2 (2023), arXiv:2203.06016 [gr-qc] .
- Wen-Rui Hu and Yue-Liang Wu, “The Taiji Program in Space for gravitational wave physics and the nature of gravity,” Natl. Sci. Rev. 4, 685–686 (2017).
- Wen-Hong Ruan, Zong-Kuan Guo, Rong-Gen Cai, and Yuan-Zhong Zhang, “Taiji program: Gravitational-wave sources,” Int. J. Mod. Phys. A 35, 2050075 (2020), arXiv:1807.09495 [gr-qc] .
- Yue-Liang Wu et al. (Taiji Scientific), “China’s first step towards probing the expanding universe and the nature of gravity using a space borne gravitational wave antenna,” Commun. Phys. 4, 34 (2021).
- Jun Luo et al. (TianQin), “TianQin: a space-borne gravitational wave detector,” Class. Quant. Grav. 33, 035010 (2016), arXiv:1512.02076 [astro-ph.IM] .
- Jun Luo et al., “The first round result from the TianQin-1 satellite,” Class. Quant. Grav. 37, 185013 (2020), arXiv:2008.09534 [physics.ins-det] .
- Jianwei Mei et al. (TianQin), “The TianQin project: current progress on science and technology,” PTEP 2021, 05A107 (2021), arXiv:2008.10332 [gr-qc] .
- Michael J. Baker, Moritz Breitbach, Joachim Kopp, and Lukas Mittnacht, “Primordial Black Holes from First-Order Cosmological Phase Transitions,” (2021a), arXiv:2105.07481 [astro-ph.CO] .
- Kiyoharu Kawana and Ke-Pan Xie, “Primordial black holes from a cosmic phase transition: The collapse of Fermi-balls,” Phys. Lett. B 824, 136791 (2022), arXiv:2106.00111 [astro-ph.CO] .
- Jing Liu, Ligong Bian, Rong-Gen Cai, Zong-Kuan Guo, and Shao-Jiang Wang, “Primordial black hole production during first-order phase transitions,” Phys. Rev. D 105, L021303 (2022), arXiv:2106.05637 [astro-ph.CO] .
- S. W. Hawking, I. G. Moss, and J. M. Stewart, “Bubble Collisions in the Very Early Universe,” Phys. Rev. D26, 2681 (1982).
- Matt Crawford and David N. Schramm, “Spontaneous Generation of Density Perturbations in the Early Universe,” Nature 298, 538–540 (1982).
- Ian G. Moss, “Black hole formation from colliding bubbles,” (1994a), arXiv:gr-qc/9405045 .
- I. G. Moss, “Singularity formation from colliding bubbles,” Phys. Rev. D50, 676–681 (1994b).
- Ben Freivogel, Gary T. Horowitz, and Stephen Shenker, “Colliding with a crunching bubble,” JHEP 05, 090 (2007), arXiv:hep-th/0703146 .
- Matthew C. Johnson, Hiranya V. Peiris, and Luis Lehner, “Determining the outcome of cosmic bubble collisions in full General Relativity,” Phys. Rev. D 85, 083516 (2012), arXiv:1112.4487 [hep-th] .
- Alexander Kusenko, Misao Sasaki, Sunao Sugiyama, Masahiro Takada, Volodymyr Takhistov, and Edoardo Vitagliano, “Exploring Primordial Black Holes from the Multiverse with Optical Telescopes,” Phys. Rev. Lett. 125, 181304 (2020), arXiv:2001.09160 [astro-ph.CO] .
- Tae Hyun Jung and Takemichi Okui, ‘‘Primordial black holes from bubble collisions during a first-order phase transition,” (2021), arXiv:2110.04271 [hep-ph] .
- Michael J. Baker, Joachim Kopp, and Andrew J. Long, “Filtered Dark Matter at a First Order Phase Transition,” Phys. Rev. Lett. 125, 151102 (2020), arXiv:1912.02830 [hep-ph] .
- Jeong-Pyong Hong, Sunghoon Jung, and Ke-Pan Xie, “Fermi-ball dark matter from a first-order phase transition,” Phys. Rev. D102, 075028 (2020), arXiv:2008.04430 [hep-ph] .
- Jason Arakawa, Arvind Rajaraman, and Tim M. P. Tait, “Annihilogenesis,” JHEP 08, 078 (2022), arXiv:2109.13941 [hep-ph] .
- Michael J. Baker, Moritz Breitbach, Joachim Kopp, Lukas Mittnacht, and Yotam Soreq, “Filtered baryogenesis,” JHEP 08, 010 (2022), arXiv:2112.08987 [hep-ph] .
- Peisi Huang and Ke-Pan Xie, “Leptogenesis triggered by a first-order phase transition,” JHEP 09, 052 (2022a), arXiv:2206.04691 [hep-ph] .
- Michael J. Baker, Moritz Breitbach, Joachim Kopp, and Lukas Mittnacht, “Detailed Calculation of Primordial Black Hole Formation During First-Order Cosmological Phase Transitions,” (2021b), arXiv:2110.00005 [astro-ph.CO] .
- James M. Cline, Benoit Laurent, Stuart Raby, and Jean-Samuel Roux, “PeV-scale leptogenesis, gravitational waves, and black holes from a SUSY-breaking phase transition,” Phys. Rev. D 107, 095011 (2023), arXiv:2211.00422 [hep-ph] .
- Philip Lu, Kiyoharu Kawana, and Ke-Pan Xie, “Old phase remnants in first-order phase transitions,” Phys. Rev. D 105, 123503 (2022), arXiv:2202.03439 [astro-ph.CO] .
- Kiyoharu Kawana, Philip Lu, and Ke-Pan Xie, “First-order phase transition and fate of false vacuum remnants,” JCAP 10, 030 (2022), arXiv:2206.09923 [astro-ph.CO] .
- Peisi Huang and Ke-Pan Xie, “Primordial black holes from an electroweak phase transition,” Phys. Rev. D 105, 115033 (2022b), arXiv:2201.07243 [hep-ph] .
- Danny Marfatia and Po-Yan Tseng, “Correlated signals of first-order phase transitions and primordial black hole evaporation,” JHEP 08, 001 (2022), [Erratum: JHEP 08, 249 (2022)], arXiv:2112.14588 [hep-ph] .
- Po-Yan Tseng and Yu-Min Yeh, “511 keV line and primordial black holes from first-order phase transitions,” JCAP 08, 035 (2023), arXiv:2209.01552 [hep-ph] .
- Thomas C. Gehrman, Barmak Shams Es Haghi, Kuver Sinha, and Tao Xu, “The primordial black holes that disappeared: connections to dark matter and MHz-GHz gravitational Waves,” JCAP 10, 001 (2023), arXiv:2304.09194 [hep-ph] .
- Ke-Pan Xie, “Pinning down the primordial black hole formation mechanism with gamma-rays and gravitational waves,” JCAP 06, 008 (2023), arXiv:2301.02352 [astro-ph.CO] .
- Indra Kumar Banerjee and Ujjal Kumar Dey, “Probing the origin of primordial black holes through novel gravitational wave spectrum,” JCAP 07, 024 (2023), arXiv:2305.07569 [gr-qc] .
- Pin-Jung Chen and Po-Yan Tseng, “Type Ia supernovae induced by primordial black holes from dark first-order phase transition,” JHEAp 39, 106–113 (2023), arXiv:2305.14399 [astro-ph.HE] .
- Debasish Borah, Suruj Jyoti Das, and Indrajit Saha, “Dark matter from phase transition generated PBH evaporation with gravitational waves signatures,” (2024), arXiv:2401.12282 [hep-ph] .
- Marek Lewicki, Kristjan Müürsepp, Joosep Pata, Martin Vasar, Ville Vaskonen, and Hardi Veermäe, “Dynamics of false vacuum bubbles with trapped particles,” Phys. Rev. D 108, 036023 (2023a), arXiv:2305.07702 [hep-ph] .
- Katsuhiko Sato, Misao Sasaki, Hideo Kodama, and Kei-ichi Maeda, “Creation of Wormholes by First Order Phase Transition of a Vacuum in the Early Universe,” Prog. Theor. Phys. 65, 1443 (1981).
- Kei-ichi Maeda, Katsuhiko Sato, Misao Sasaki, and Hideo Kodama, “Creation of De Sitter-schwarzschild Wormholes by a Cosmological First Order Phase Transition,” Phys. Lett. B 108, 98–102 (1982).
- Katsuhiko Sato, Hideo Kodama, Misao Sasaki, and Kei-ichi Maeda, “Multiproduction of Universes by First Order Phase Transition of a Vacuum,” Phys. Lett. B 108, 103–107 (1982).
- Hideo Kodama, Misao Sasaki, Katsuhiko Sato, and Kei-ichi Maeda, “Fate of Wormholes Created by First Order Phase Transition in the Early Universe,” Prog. Theor. Phys. 66, 2052 (1981).
- K. Sato, “Production of Magnetized Black Holes and Wormholes by First Order Phase Transition in the Early Universe,” Prog. Theor. Phys. 66, 2287–2290 (1981).
- Hideo Kodama, Misao Sasaki, and Katsuhiko Sato, “Abundance of Primordial Holes Produced by Cosmological First Order Phase Transition,” Prog. Theor. Phys. 68, 1979 (1982).
- Song He, Li Li, Zhibin Li, and Shao-Jiang Wang, “Gravitational waves and primordial black hole productions from gluodynamics by holography,” Sci. China Phys. Mech. Astron. 67, 240411 (2024), arXiv:2210.14094 [hep-ph] .
- Song He, Li Li, Sai Wang, and Shao-Jiang Wang, “Constraints on holographic QCD phase transitions from PTA observations,” (2023), arXiv:2308.07257 [hep-ph] .
- Yann Gouttenoire, “First-Order Phase Transition Interpretation of Pulsar Timing Array Signal Is Consistent with Solar-Mass Black Holes,” Phys. Rev. Lett. 131, 171404 (2023), arXiv:2307.04239 [hep-ph] .
- Alberto Salvio, “Pulsar Timing Arrays and Primordial Black Holes from a Supercool Phase Transition,” (2023a), arXiv:2312.04628 [hep-ph] .
- Katsuya Hashino, Shinya Kanemura, and Tomo Takahashi, “Primordial black holes as a probe of strongly first-order electroweak phase transition,” Phys. Lett. B 833, 137261 (2022), arXiv:2111.13099 [hep-ph] .
- Katsuya Hashino, Shinya Kanemura, Tomo Takahashi, and Masanori Tanaka, “Probing first-order electroweak phase transition via primordial black holes in the effective field theory,” Phys. Lett. B 838, 137688 (2023), arXiv:2211.16225 [hep-ph] .
- Alberto Salvio, “Supercooling in radiative symmetry breaking: theory extensions, gravitational wave detection and primordial black holes,” JCAP 12, 046 (2023b), arXiv:2307.04694 [hep-ph] .
- Angela Conaci, Luigi Delle Rose, P. S. Bhupal Dev, and Anish Ghoshal, “Slaying Axion-Like Particles via Gravitational Waves and Primordial Black Holes from Supercooled Phase Transition,” (2024), arXiv:2401.09411 [astro-ph.CO] .
- Iason Baldes and María Olalla Olea-Romacho, “Primordial black holes as dark matter: interferometric tests of phase transition origin,” JHEP 01, 133 (2024), arXiv:2307.11639 [hep-ph] .
- Kiyoharu Kawana, TaeHun Kim, and Philip Lu, “PBH formation from overdensities in delayed vacuum transitions,” Phys. Rev. D 108, 103531 (2023), arXiv:2212.14037 [astro-ph.CO] .
- Yann Gouttenoire and Tomer Volansky, “Primordial Black Holes from Supercooled Phase Transitions,” (2023), arXiv:2305.04942 [hep-ph] .
- Shinya Kanemura, Masanori Tanaka, and Ke-Pan Xie, “Primordial black holes from slow phase transitions: a model-building perspective,” (2024), arXiv:2404.00646 [hep-ph] .
- Ryusuke Jinno, Jun’ya Kume, and Masaki Yamada, “Super-slow phase transition catalyzed by BHs and the birth of baby BHs,” Phys. Lett. B 849, 138465 (2024), arXiv:2310.06901 [hep-ph] .
- Koichiro Uehara, Albert Escrivà, Tomohiro Harada, Daiki Saito, and Chul-Moon Yoo, “Numerical simulation of type II primordial black hole formation,” (2024), arXiv:2401.06329 [gr-qc] .
- Jing Liu, Ligong Bian, Rong-Gen Cai, Zong-Kuan Guo, and Shao-Jiang Wang, “Constraining First-Order Phase Transitions with Curvature Perturbations,” Phys. Rev. Lett. 130, 051001 (2023), arXiv:2208.14086 [astro-ph.CO] .
- Zhen-Min Zeng, Jing Liu, and Zong-Kuan Guo, “Enhanced curvature perturbations from spherical domain walls nucleated during inflation,” Phys. Rev. D 108, 063005 (2023), arXiv:2301.07230 [astro-ph.CO] .
- Zhen-Min Zeng and Zong-Kuan Guo, “Phase transition catalyzed by primordial black holes,” (2024), arXiv:2402.09310 [astro-ph.CO] .
- Gilly Elor, Ryusuke Jinno, Soubhik Kumar, Robert McGehee, and Yuhsin Tsai, “Finite Bubble Statistics Constrain Late Cosmological Phase Transitions,” (2023), arXiv:2311.16222 [hep-ph] .
- Matthew R. Buckley, Peizhi Du, Nicolas Fernandez, and Mitchell J. Weikert, “Dark Radiation Isocurvature from Cosmological Phase Transitions,” (2024), arXiv:2402.13309 [hep-ph] .
- Marek Lewicki, Piotr Toczek, and Ville Vaskonen, “Black holes and gravitational waves from slow phase transitions,” (2024), arXiv:2402.04158 [astro-ph.CO] .
- Sidney R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev. D15, 2929–2936 (1977), [Erratum: Phys. Rev.D16,1248(1977)].
- Curtis G. Callan, Jr. and Sidney R. Coleman, “The Fate of the False Vacuum. 2. First Quantum Corrections,” Phys. Rev. D16, 1762–1768 (1977).
- Andrei D. Linde, “Fate of the False Vacuum at Finite Temperature: Theory and Applications,” Phys. Lett. 100B, 37–40 (1981).
- Andrei D. Linde, “Decay of the False Vacuum at Finite Temperature,” Nucl. Phys. B216, 421 (1983), [Erratum: Nucl. Phys.B223,544(1983)].
- K. Enqvist, J. Ignatius, K. Kajantie, and K. Rummukainen, “Nucleation and bubble growth in a first order cosmological electroweak phase transition,” Phys. Rev. D45, 3415–3428 (1992).
- Mark Hindmarsh and Mulham Hijazi, “Gravitational waves from first order cosmological phase transitions in the Sound Shell Model,” JCAP 1912, 062 (2019), arXiv:1909.10040 [astro-ph.CO] .
- Alan H. Guth and Erick J. Weinberg, “Could the Universe Have Recovered from a Slow First Order Phase Transition?” Nucl. Phys. B 212, 321–364 (1983).
- Michael S. Turner, Erick J. Weinberg, and Lawrence M. Widrow, “Bubble nucleation in first order inflation and other cosmological phase transitions,” Phys. Rev. D46, 2384–2403 (1992).
- Rong-Gen Cai and Shao-Jiang Wang, “Effective picture of bubble expansion,” JCAP 2021, 096 (2021), arXiv:2011.11451 [astro-ph.CO] .
- Vinod K.S. Shante and Scott Kirkpatrick, “An introduction to percolation theory,” Advances in Physics 20, 325–357 (1971).
- John Ellis, Marek Lewicki, and José Miguel No, “On the Maximal Strength of a First-Order Electroweak Phase Transition and its Gravitational Wave Signal,” JCAP 04, 003 (2019), arXiv:1809.08242 [hep-ph] .
- Ilia Musco, John C. Miller, and Luciano Rezzolla, “Computations of primordial black hole formation,” Class. Quant. Grav. 22, 1405–1424 (2005), arXiv:gr-qc/0412063 .
- Tomohiro Harada, Chul-Moon Yoo, and Kazunori Kohri, “Threshold of primordial black hole formation,” Phys. Rev. D 88, 084051 (2013), [Erratum: Phys.Rev.D 89, 029903 (2014)], arXiv:1309.4201 [astro-ph.CO] .
- Bernard J. Carr, “The Primordial black hole mass spectrum,” Astrophys. J. 201, 1–19 (1975).
- Bernard Carr and Florian Kuhnel, “Primordial Black Holes as Dark Matter: Recent Developments,” Ann. Rev. Nucl. Part. Sci. 70, 355–394 (2020), arXiv:2006.02838 [astro-ph.CO] .
- Gert Hütsi, Martti Raidal, Ville Vaskonen, and Hardi Veermäe, “Two populations of LIGO-Virgo black holes,” JCAP 03, 068 (2021), arXiv:2012.02786 [astro-ph.CO] .
- Alexander H. Nitz and Yi-Fan Wang, “Broad search for gravitational waves from subsolar-mass binaries through LIGO and Virgo’s third observing run,” Phys. Rev. D 106, 023024 (2022), arXiv:2202.11024 [astro-ph.HE] .
- “Observation of Gravitational Waves from the Coalescence of a 2.5−4.5M⊙2.54.5subscript𝑀direct-product2.5-4.5~{}M_{\odot}2.5 - 4.5 italic_M start_POSTSUBSCRIPT ⊙ end_POSTSUBSCRIPT Compact Object and a Neutron Star,” (2024), arXiv:2404.04248 [astro-ph.HE] .
- Qing-Guo Huang, Chen Yuan, Zu-Cheng Chen, and Lang Liu, “GW230529 181500: A Potential Primordial Binary Black Hole Merger in the Mass Gap,” arXiv:2404.05691 [gr-qc] .
- Rampei Kimura, Teruaki Suyama, Masahide Yamaguchi, and Ying-Li Zhang, “Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries,” JCAP 04, 031 (2021), arXiv:2102.05280 [astro-ph.CO] .
- Amandeep S. Josan, Anne M. Green, and Karim A. Malik, “Generalised constraints on the curvature perturbation from primordial black holes,” Phys. Rev. D 79, 103520 (2009), arXiv:0903.3184 [astro-ph.CO] .
- Jens Chluba, Adrienne L. Erickcek, and Ido Ben-Dayan, “Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum,” Astrophys. J. 758, 76 (2012), arXiv:1203.2681 [astro-ph.CO] .
- Jens Chluba, Jan Hamann, and Subodh P. Patil, “Features and New Physical Scales in Primordial Observables: Theory and Observation,” Int. J. Mod. Phys. D 24, 1530023 (2015), arXiv:1505.01834 [astro-ph.CO] .
- Matteo Lucca, Nils Schöneberg, Deanna C. Hooper, Julien Lesgourgues, and Jens Chluba, “The synergy between CMB spectral distortions and anisotropies,” JCAP 02, 026 (2020), arXiv:1910.04619 [astro-ph.CO] .
- Hamish A. Clark, Geraint F. Lewis, and Pat Scott, “Investigating dark matter substructure with pulsar timing – I. Constraints on ultracompact minihaloes,” Mon. Not. Roy. Astron. Soc. 456, 1394–1401 (2016a), [Erratum: Mon.Not.Roy.Astron.Soc. 464, 2468 (2017)], arXiv:1509.02938 [astro-ph.CO] .
- Hamish A. Clark, Geraint F. Lewis, and Pat Scott, “Investigating dark matter substructure with pulsar timing – II. Improved limits on small-scale cosmology,” Mon. Not. Roy. Astron. Soc. 456, 1402–1409 (2016b), [Erratum: Mon.Not.Roy.Astron.Soc. 464, 955–956 (2017)], arXiv:1509.02941 [astro-ph.CO] .
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