2000 character limit reached
Carroll Hawking effect
Published 29 Feb 2024 in hep-th | (2403.00073v2)
Abstract: Carroll black holes with an associated Carroll temperature were introduced recently. So far, it is unclear if they exhibit a Hawking-like effect. To solve this, we study scalar fields on Carroll black hole backgrounds. Inspired by anomaly methods, we derive a Hawking-like energy-momentum tensor compatible with the Carroll temperature and the Stefan-Boltzmann law. Key steps in our derivation are the finiteness of energy at the Carroll extremal surface and compatibility with the Carroll Ward identities, thereby eliminating, respectively, the Carroll-analogs of the Boulware and Unruh vacua.
- J.-M. Lévy-Leblond, “Une nouvelle limite non-relativiste du groupe de Poincaré,” Annales de l’I.H.P. Physique théorique 3 (1965), no. 1, 1–12.
- N. D. S. Gupta, “On an analogue of the Galilei group,” Il Nuovo Cimento A (1965-1970) 44 (1966) 512–517.
- H. Bondi, M. van der Burg, and A. Metzner, “Gravitational waves in general relativity VII. Waves from axi-symmetric isolated systems,” Proc. Roy. Soc. London A269 (1962) 21–51.
- R. Sachs, “Asymptotic symmetries in gravitational theory,” Phys. Rev. 128 (1962) 2851–2864.
- C. Duval, G. W. Gibbons, P. A. Horvathy, and P. M. Zhang, “Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time,” Class. Quant. Grav. 31 (2014) 085016, 1402.0657.
- C. Duval, G. W. Gibbons, and P. A. Horvathy, “Conformal Carroll groups and BMS symmetry,” Class. Quant. Grav. 31 (2014) 092001, 1402.5894.
- C. Duval, G. W. Gibbons, and P. A. Horvathy, “Conformal Carroll groups,” J. Phys. A 47 (2014), no. 33, 335204, 1403.4213.
- L. Ciambelli, C. Marteau, A. C. Petkou, P. M. Petropoulos, and K. Siampos, “Flat holography and Carrollian fluids,” JHEP 07 (2018) 165, 1802.06809.
- J. Figueroa-O’Farrill, E. Have, S. Prohazka, and J. Salzer, “Carrollian and celestial spaces at infinity,” JHEP 09 (2022) 007, 2112.03319.
- Y. Herfray, “Carrollian manifolds and null infinity: a view from Cartan geometry,” Class. Quant. Grav. 39 (2022), no. 21, 215005, 2112.09048.
- N. Mittal, P. M. Petropoulos, D. Rivera-Betancour, and M. Vilatte, “Ehlers, Carroll, charges and dual charges,” JHEP 07 (2023) 065, 2212.14062.
- A. Campoleoni, A. Delfante, S. Pekar, P. M. Petropoulos, D. Rivera-Betancour, and M. Vilatte, “Flat from anti de Sitter,” JHEP 12 (2023) 078, 2309.15182.
- R. F. Penna, “BMS invariance and the membrane paradigm,” JHEP 03 (2016) 023, 1508.06577.
- R. F. Penna, “Near-horizon Carroll symmetry and black hole Love numbers,” 1812.05643.
- L. Donnay and C. Marteau, “Carrollian Physics at the Black Hole Horizon,” Class. Quant. Grav. 36 (2019), no. 16, 165002, 1903.09654.
- L. Ciambelli, R. G. Leigh, C. Marteau, and P. M. Petropoulos, “Carroll Structures, Null Geometry and Conformal Isometries,” Phys. Rev. D 100 (2019), no. 4, 046010, 1905.02221.
- J. Redondo-Yuste and L. Lehner, “Non-linear black hole dynamics and Carrollian fluids,” JHEP 02 (2023) 240, 2212.06175.
- L. Freidel and P. Jai-akson, “Carrollian hydrodynamics and symplectic structure on stretched horizons,” 2211.06415.
- F. Gray, D. Kubiznak, T. R. Perche, and J. Redondo-Yuste, “Carrollian motion in magnetized black hole horizons,” Phys. Rev. D 107 (2023), no. 6, 064009, 2211.13695.
- L. Ciambelli, L. Freidel, and R. G. Leigh, “Null Raychaudhuri: canonical structure and the dressing time,” JHEP 01 (2024) 166, 2309.03932.
- L. Ciambelli and L. Lehner, “Fluid-gravity correspondence and causal first-order relativistic viscous hydrodynamics,” Phys. Rev. D 108 (2023), no. 12, 126019, 2310.15427.
- G. Barnich and G. Compère, “Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions,” Class.Quant.Grav. 24 (2007) F15–F23, gr-qc/0610130.
- A. Bagchi, “Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories,” Phys.Rev.Lett. 105 (2010) 171601.
- A. Bagchi, S. Detournay, and D. Grumiller, “Flat-Space Chiral Gravity,” Phys.Rev.Lett. 109 (2012) 151301, 1208.1658.
- G. Barnich, “Entropy of three-dimensional asymptotically flat cosmological solutions,” JHEP 1210 (2012) 095, 1208.4371.
- A. Bagchi, S. Detournay, R. Fareghbal, and J. Simon, “Holography of 3d Flat Cosmological Horizons,” Phys. Rev. Lett. 110 (2013) 141302, 1208.4372.
- G. Barnich, A. Gomberoff, and H. A. Gonzalez, “BMS33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT invariant two dimensional field theories as flat limit of Liouville,” Phys. Rev. D87:124032, (2013) 1210.0731.
- A. Bagchi, S. Detournay, D. Grumiller, and J. Simon, “Cosmic Evolution from Phase Transition of Three-Dimensional Flat Space,” Phys.Rev.Lett. 111 (2013) 181301, 1305.2919.
- A. Bagchi, R. Basu, D. Grumiller, and M. Riegler, “Entanglement entropy in Galilean conformal field theories and flat holography,” Phys.Rev.Lett. 114 (2015), no. 11, 111602, 1410.4089.
- G. Barnich, H. A. Gonzalez, A. Maloney, and B. Oblak, “One-loop partition function of three-dimensional flat gravity,” JHEP 1504 (2015) 178, 1502.06185.
- A. Campoleoni, H. A. Gonzalez, B. Oblak, and M. Riegler, “Rotating Higher Spin Partition Functions and Extended BMS Symmetries,” JHEP 04 (2016) 034, 1512.03353.
- A. Bagchi, D. Grumiller, and W. Merbis, “Stress tensor correlators in three-dimensional gravity,” Phys. Rev. D 93 (2016), no. 6, 061502, 1507.05620.
- A. Bagchi, R. Basu, A. Kakkar, and A. Mehra, “Flat Holography: Aspects of the dual field theory,” JHEP 12 (2016) 147, 1609.06203.
- H. Jiang, W. Song, and Q. Wen, “Entanglement Entropy in Flat Holography,” JHEP 07 (2017) 142, 1706.07552.
- D. Grumiller, P. Parekh, and M. Riegler, “Local quantum energy conditions in non-Lorentz-invariant quantum field theories,” Phys. Rev. Lett. 123 (2019), no. 12, 121602, 1907.06650.
- L. Apolo, H. Jiang, W. Song, and Y. Zhong, “Swing surfaces and holographic entanglement beyond AdS/CFT,” JHEP 12 (2020) 064, 2006.10740.
- L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi, “Carrollian Perspective on Celestial Holography,” Phys. Rev. Lett. 129 (2022), no. 7, 071602, 2202.04702.
- A. Bagchi, S. Banerjee, R. Basu, and S. Dutta, “Scattering Amplitudes: Celestial and Carrollian,” Phys. Rev. Lett. 128 (2022), no. 24, 241601, 2202.08438.
- A. Campoleoni, L. Ciambelli, A. Delfante, C. Marteau, P. M. Petropoulos, and R. Ruzziconi, “Holographic Lorentz and Carroll frames,” JHEP 12 (2022) 007, 2208.07575.
- L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi, “Bridging Carrollian and celestial holography,” Phys. Rev. D 107 (2023), no. 12, 126027, 2212.12553.
- J. Salzer, “An embedding space approach to Carrollian CFT correlators for flat space holography,” JHEP 10 (2023) 084, 2304.08292.
- A. Bagchi, P. Dhivakar, and S. Dutta, “AdS Witten diagrams to Carrollian correlators,” JHEP 04 (2023) 135, 2303.07388.
- A. Saha, “Carrollian approach to 1 + 3D flat holography,” JHEP 06 (2023) 051, 2304.02696.
- A. Bagchi, P. Dhivakar, and S. Dutta, “Holography in Flat Spacetimes: the case for Carroll,” 2311.11246.
- L. Mason, R. Ruzziconi, and A. Yelleshpur Srikant, “Carrollian Amplitudes and Celestial Symmetries,” 2312.10138.
- F. W. Hehl, P. Von Der Heyde, G. D. Kerlick, and J. M. Nester, “General relativity with spin and torsion: Foundations and prospects,” Rev. Mod. Phys. 48 (1976) 393–416.
- C. Duval, G. Burdet, H. P. Kunzle, and M. Perrin, “Bargmann Structures and Newton-cartan Theory,” Phys. Rev. D 31 (1985) 1841–1853.
- C. Duval and P. A. Horvathy, “Non-relativistic conformal symmetries and Newton-Cartan structures,” J.Phys. A42 (2009) 465206, 0904.0531.
- D. T. Son, “Newton-Cartan Geometry and the Quantum Hall Effect,” 1306.0638.
- M. H. Christensen, J. Hartong, N. A. Obers, and B. Rollier, “Torsional Newton-Cartan Geometry and Lifshitz Holography,” Phys. Rev. D 89 (2014) 061901, 1311.4794.
- E. A. Bergshoeff, J. Hartong, and J. Rosseel, “Torsional Newton–Cartan geometry and the Schrödinger algebra,” Class. Quant. Grav. 32 (2015), no. 13, 135017, 1409.5555.
- J. Hartong and N. A. Obers, “Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry,” JHEP 07 (2015) 155, 1504.07461.
- R. Andringa, E. Bergshoeff, J. Gomis, and M. de Roo, “’Stringy’ Newton-Cartan Gravity,” Class. Quant. Grav. 29 (2012) 235020, 1206.5176.
- E. A. Bergshoeff, J. Gomis, J. Rosseel, C. Şimşek, and Z. Yan, “String Theory and String Newton-Cartan Geometry,” J. Phys. A 53 (2020), no. 1, 014001, 1907.10668.
- J. Hartong, “Gauging the Carroll Algebra and Ultra-Relativistic Gravity,” JHEP 08 (2015) 069, 1505.05011.
- M. Henneaux, “Geometry of Zero Signature Space-times,” Bull. Soc. Math. Belg. 31 (1979) 47–63.
- E. Bergshoeff, J. Gomis, B. Rollier, J. Rosseel, and T. ter Veldhuis, “Carroll versus Galilei Gravity,” JHEP 03 (2017) 165, 1701.06156.
- L. Ciambelli and C. Marteau, “Carrollian conservation laws and Ricci-flat gravity,” Class. Quant. Grav. 36 (2019), no. 8, 085004, 1810.11037.
- J. Matulich, S. Prohazka, and J. Salzer, “Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension,” JHEP 07 (2019) 118, 1903.09165.
- D. Grumiller, J. Hartong, S. Prohazka, and J. Salzer, “Limits of JT gravity,” JHEP 02 (2021) 134, 2011.13870.
- J. Gomis, D. Hidalgo, and P. Salgado-Rebolledo, “Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity,” JHEP 05 (2021) 162, 2011.15053.
- A. Pérez, “Asymptotic symmetries in Carrollian theories of gravity,” JHEP 12 (2021) 173, 2110.15834.
- D. Hansen, N. A. Obers, G. Oling, and B. T. Sogaard, “Carroll Expansion of General Relativity,” SciPost Phys. 13 (2022), no. 3, 055, 2112.12684.
- J. de Boer, J. Hartong, N. A. Obers, W. Sybesma, and S. Vandoren, “Carroll Symmetry, Dark Energy and Inflation,” Front. in Phys. 10 (2022) 810405, 2110.02319.
- P. Concha, D. Peñafiel, L. Ravera, and E. Rodríguez, “Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant,” Phys. Lett. B 823 (2021) 136735, 2107.05716.
- J. Figueroa-O’Farrill, E. Have, S. Prohazka, and J. Salzer, “The gauging procedure and carrollian gravity,” JHEP 09 (2022) 243, 2206.14178.
- A. Campoleoni, M. Henneaux, S. Pekar, A. Pérez, and P. Salgado-Rebolledo, “Magnetic Carrollian gravity from the Carroll algebra,” JHEP 09 (2022) 127, 2207.14167.
- O. Miskovic, R. Olea, P. M. Petropoulos, D. Rivera-Betancour, and K. Siampos, “Chern-Simons action and the Carrollian Cotton tensors,” JHEP 12 (2023) 130, 2310.19929.
- D. Grumiller, A. Pérez, M. M. Sheikh-Jabbari, R. Troncoso, and C. Zwikel, “Spacetime structure near generic horizons and soft hair,” Phys. Rev. Lett. 124 (2020), no. 4, 041601, 1908.09833.
- J. Gomis, A. Kleinschmidt, J. Palmkvist, and P. Salgado-Rebolledo, “Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity,” JHEP 02 (2020) 009, 1912.07564.
- F. Ecker, D. Grumiller, J. Hartong, A. Pérez, S. Prohazka, and R. Troncoso, “Carroll black holes,” SciPost Phys. 15 (2023), no. 6, 245, 2308.10947.
- S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43 (1975) 199–220. [Erratum: Commun.Math.Phys. 46, 206 (1976)].
- S. Baiguera, G. Oling, W. Sybesma, and B. T. Søgaard, “Conformal Carroll scalars with boosts,” SciPost Phys. 14 (2023), no. 4, 086, 2207.03468.
- D. Rivera-Betancour and M. Vilatte, “Revisiting the Carrollian scalar field,” Phys. Rev. D 106 (2022), no. 8, 085004, 2207.01647.
- M. Henneaux and P. Salgado-Rebolledo, “Carroll contractions of Lorentz-invariant theories,” JHEP 11 (2021) 180, 2109.06708.
- J. Hartong, E. Kiritsis, and N. A. Obers, “Lifshitz space–times for Schrödinger holography,” Phys. Lett. B 746 (2015) 318–324, 1409.1519.
- J. Hartong, E. Kiritsis, and N. A. Obers, “Schrödinger Invariance from Lifshitz Isometries in Holography and Field Theory,” Phys. Rev. D 92 (2015) 066003, 1409.1522.
- S. M. Christensen and S. A. Fulling, “Trace anomalies and the Hawking effect,” Phys. Rev. D15 (1977) 2088–2104.
- L. Ciambelli, “Dynamics of Carrollian Scalar Fields,” 2311.04113.
- J. de Boer, J. Hartong, N. A. Obers, W. Sybesma, and S. Vandoren, “Carroll stories,” JHEP 09 (2023) 148, 2307.06827.
- K. Fujikawa, “Path Integral Measure for Gauge Invariant Fermion Theories,” Phys. Rev. Lett. 42 (1979) 1195–1198.
- D. Grumiller, W. Kummer, and D. V. Vassilevich, “Dilaton gravity in two dimensions,” Phys. Rept. 369 (2002) 327–429, hep-th/0204253.
- L. Ciambelli and D. Grumiller, “Carroll geodesics,” 2311.04112.
- F. Ecker, D. Grumiller, M. Henneaux, and P. Salgado-Rebolledo, “Carroll swiftons.” work in progress.
- D. V. Vassilevich, “QED on curved background and on manifolds with boundaries: Unitarity versus covariance,” Phys. Rev. D52 (1995) 999–1010, gr-qc/9411036.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.