Exotic Encounters: Buchdahl's Conditions and Physical Black Holes

Fuente: arXiv
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Auteurs principaux: Soranidis, Ioannis, Terno, Daniel R.
Format: Preprint
Publié: 2025
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author Soranidis, Ioannis
Terno, Daniel R.
author_facet Soranidis, Ioannis
Terno, Daniel R.
contents Black holes are among the most well-known astrophysical objects, yet their physical realisation remains conceptually subtle. We analyse physical black holes -- light-trapping regions that form in finite time as seen by a distant observer -- and investigate the properties of the matter required to support them. Taking Buchdahl's theorem as a benchmark, we show that these configurations necessarily violate at least two of its four original conditions, and the post-formation state violates them all. These violations are substantial: they include the null energy condition, non-monotonic energy profiles, and strong pressure anisotropies. Thus, the requirement of truly forming a horizon places physical black holes in a class of solutions that are more exotic than exotic compact objects.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09189
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exotic Encounters: Buchdahl's Conditions and Physical Black Holes
Soranidis, Ioannis
Terno, Daniel R.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Black holes are among the most well-known astrophysical objects, yet their physical realisation remains conceptually subtle. We analyse physical black holes -- light-trapping regions that form in finite time as seen by a distant observer -- and investigate the properties of the matter required to support them. Taking Buchdahl's theorem as a benchmark, we show that these configurations necessarily violate at least two of its four original conditions, and the post-formation state violates them all. These violations are substantial: they include the null energy condition, non-monotonic energy profiles, and strong pressure anisotropies. Thus, the requirement of truly forming a horizon places physical black holes in a class of solutions that are more exotic than exotic compact objects.
title Exotic Encounters: Buchdahl's Conditions and Physical Black Holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.09189