Universal Black Holes
| Autor: | Sigbjørn Hervik, Marcello Ortaggio |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Riemann curvature tensor Black Holes FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Space (mathematics) 01 natural sciences General Relativity and Quantum Cosmology Gravitation tyngdekraft symbols.namesake 0103 physical sciences Covariant transformation lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics Mathematical physics Ansatz Physics Matematikk og Naturvitenskap: 400::Fysikk: 430 [VDP] 010308 nuclear & particles physics Horizon Black hole High Energy Physics - Theory (hep-th) Homogeneous space symbols lcsh:QC770-798 astrofysikk Classical Theories of Gravity svarte hull |
| Zdroj: | Journal of High Energy Physics (JHEP) Journal of High Energy Physics Journal of High Energy Physics, Vol 2020, Iss 2, Pp 1-24 (2020) |
| DOI: | 10.48550/arxiv.1907.08788 |
| Popis: | We prove that a generalized Schwarzschild-like ansatz can be consistently employed to construct $d$-dimensional static vacuum black hole solutions in any metric theory of gravity for which the Lagrangian is a scalar invariant constructed from the Riemann tensor and its covariant derivatives of arbitrary order. Namely, we show that, apart from containing two arbitrary functions $a(r)$ and $f(r)$ (essentially, the $g_{tt}$ and $g_{rr}$ components), in any such theory the line-element may admit as a base space {\em any} isotropy-irreducible homogeneous space. Technically, this ensures that the field equations generically reduce to two ODEs for $a(r)$ and $f(r)$, and dramatically enlarges the space of black hole solutions and permitted horizon geometries for the considered theories. We then exemplify our results in concrete contexts by constructing solutions in particular theories such as Gauss-Bonnet, quadratic, $F(R)$ and $F$(Lovelock) gravity, and certain conformal gravities. Comment: 20 pages. v2: abstract, introduction (sec. 1) and final discussion (sec. 9) improved, a few comments and refs. added, appendix B extended (with field eqs. for quadratic gravity). Results unchanged |
| Databáze: | OpenAIRE |
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