Existence of traversable wormholes in the spherical stellar systems (1509.01237v4)

Abstract: Potentiality of the presence of traversable wormholes in the outer/inner regions of the halos of galaxies, situated on the Navarro-Frenk-White (NFW) density profile and Universal Rotation Curve (URC) dark matter models have been investigated recently. Since this covers our own galaxy also as a possible home for traversable wormholes it prompts us to further the subject by considering alternative density distributions. From this token herein we make use of the Einasto model to describe the density profiles for the same purpose. Our choice for the latter is based on the fact that theoretical dark matter halos produced in computer simulations are best described by such a profile. For technical reasons we trim the number of parameters in the Einasto profile to a possible minimum. Based on such a model it is shown that traversable wormholes in the outer regions of spiral galaxies are possible while the inner part regions prohibit such formations.

• The paper demonstrates that traversable wormholes can exist in the outer regions of dark matter halos, where Einstein’s field equations and flare-out conditions are met.
• It employs the Einasto density profile to model the dark matter distribution in spiral galaxies, offering improved alignment with simulated data compared to traditional NFW profiles.
• Numerical results indicate that while core regions do not support wormhole formation, the outer galactic regions provide the necessary conditions for stable, traversable wormholes.

Traversable Wormholes in Spherical Stellar Systems Modeled with Einasto Density Profile

The paper by Övgün and Halilsoy explores the compelling possibility of traversable wormholes existing within the dark matter halos of spiral galaxies, focusing particularly on the Milky Way. Their approach involves employing the Einasto density profile, an alternative to the more traditional Navarro-Frenk-White (NFW) profile used in previous investigations. This choice is motivated by the superior alignment of the Einasto profile with simulated dark matter halo data, which could potentially reveal the existence of diverse cosmic structures like wormholes.

The authors initiate their investigation by examining the theoretical premises surrounding wormhole physics. Building upon historical foundations laid by Einstein and Rosen's bridge concept, and the Morris-Thorne paradigm of traversable wormholes, they explore the conditions under which such structures might exist in the field of spiral galaxies. The paper notes that unlike black holes, which possess event horizons, traversable wormholes require the satisfaction of specific geometric and physical criteria, including the vital violation of the null energy condition (NEC).

A significant portion of the discussion centers around the role of dark matter in wormhole theoretical frameworks. Historically, dark matter was first postulated by Zwicky and later observationally supported by Rubin, implying massive halo regions around galaxies. Although the precise nature of dark matter remains elusive, its distribution within galaxies is crucial for analyzing gravitational dynamics and potential exotic features like wormholes.

The authors employ the Einasto profile, describing the dark matter density distribution with the equation $\rho(r) \propto e^{-Ar^\alpha}$. Here, the Einasto index $\alpha$ allows for flexible modeling of dark matter halo structures, providing a potential pathway for identifying regions where wormholes could form. Importantly, the comparison with the NFW profile shows that the Einasto profile may lead to distinct dynamical properties, especially at small and large radial distances from the galactic center.

From an analytical perspective, the paper rigorously derives the necessary conditions from Einstein's field equations to accommodate traversable wormholes using the Einasto profile. They demonstrate that at the core regions of galaxies, traversable wormholes are not feasible due to unmet energy condition requirements. However, at greater radial distances, these conditions are more conducive to the potential formation of stable, traversable wormholes.

Numerical results indicated that for Milky Way-like galaxies, the outer regions of the halo could sustain wormhole structures without violating the fundamental physical constraints. The paper's calculations were validated by checking the flare-out conditions and the geometry constraints intrinsic to wormhole topology, ensuring that theoretical requirements align with the potential astrophysical environment.

In conclusion, the research by Övgün and Halilsoy contributes pivotal insights into the possibility of galactic wormholes, emphasizing the need to consider varied density profiles such as Einasto for more accurate modeling. Future developments might leverage advancements in telescopic data and dark matter research to further assess the existence and stability of such structures. As the understanding of the interrelation between dark matter profile characteristics and exotic cosmic features evolves, this line of inquiry holds significant potential for refining and expanding the current understanding of our universe's architecture and dynamics.