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The essential singularity in Einstein's gravity can be avoidable if the preconditions of Penrose's theorem can be bypassed, i.e., if the strong energy condition is broken in the vicinity of a black hole center. The singularity mentioned…

广义相对论与量子宇宙学 · 物理学 2023-09-07 Chen Lan , Hao Yang , Yang Guo , Yan-Gang Miao

We consider the Vlasov-Poisson system with spherical symmetry and an exterior potential which is induced by a point mass in the center. This system can be used as a simple model for a newtonian galaxy surrounding a black hole. For this…

数学物理 · 物理学 2009-11-13 Achim Schulze

We consider the interesting "near-horizon test" reported in (PRD84, 084006(2011), arXiv:1107.5727) for any static, spherically symmetric (SSS) black hole solution admitted in f(R) gravity. Before adopting the necessary conditions for the…

广义相对论与量子宇宙学 · 物理学 2012-10-18 S. Habib Mazharimousavi , M. Halilsoy

Quantum gravitational effects in black hole spacetimes with a cosmological constant $\Lambda$ are considered. The effective quantum spacetimes for the black holes are constructed by taking into account the renormalization group improvement…

广义相对论与量子宇宙学 · 物理学 2017-06-14 Ramon Torres

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

广义相对论与量子宇宙学 · 物理学 2023-04-21 Dimitrios Psaltis

We show that a static spherically symmetric black hole, in a generic theory of gravity with generic matter fields, has a two-dimensional Lorentz symmetry.

高能物理 - 理论 · 物理学 2015-06-18 Lam Hui , Alberto Nicolis

In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole spacetimes by M\"uller zum Hagen--Robinson--Seifert and by…

The present status of the uniqueness and stability issue of black holes in four and higher dimensions is overviewed with focus on the perturbative analysis of this issue for static black holes in higher dimensions as well as for those in…

高能物理 - 理论 · 物理学 2007-05-23 Hideo Kodama

Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein (n-2)-gauge forms equations of motion. Black hole spacetime…

高能物理 - 理论 · 物理学 2009-11-10 Marek Rogatko

A stationary and spherically symmetric black hole (For example, Reissner-Nordstrom black hole or Kerr-Newman black hole) has at most one singularity and two horizons. One horizon is the outer event horizon and the other is the inner Cauchy…

广义相对论与量子宇宙学 · 物理学 2018-05-23 Changjun Gao , Youjun Lu , Shuang Yu , You-Gen Shen

Making use of the conformal positive energy theorem we prove the uniqueness of four-dimensional static electrically charged black holes being the solution of Chern-Simons dynamical gravity equations of motion. We assume that black hole…

高能物理 - 理论 · 物理学 2015-06-16 Marek Rogatko

A spacetime satisfies the non-timelike boundary version of the Penrose property if the timelike future of any point on $\mathcal{I}^-$ contains the whole of $\mathcal{I}^+$. This property was first discussed for asymptotically flat…

广义相对论与量子宇宙学 · 物理学 2023-11-21 Peter Cameron

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes…

广义相对论与量子宇宙学 · 物理学 2010-05-20 Yves Décanini , Antoine Folacci , Bernard Raffaelli

The nonmodal linear stability of the Schwarzschild black hole established in Phys. Rev. Lett. 112 (2014) 191101 is generalized to the case of a nonnegative cosmological constant $\Lambda$. Two gauge invariant combinations $G_{\pm}$ of…

广义相对论与量子宇宙学 · 物理学 2016-09-26 Gustavo Dotti

I review the black hole uniqueness theorem and the no hair theorems established for physical black hole stationary states by the early 80'. This review presents the original and decisive work of Carter, Robinson, Mazur and Bunting on the…

高能物理 - 理论 · 物理学 2009-10-19 Pawel O. Mazur

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

广义相对论与量子宇宙学 · 物理学 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

The properties of static spherically symmetric black holes, which are either electrically or magnetically charged, and which are coupled to the dilaton in the presence of a cosmological constant, are considered. It is shown that such…

高能物理 - 理论 · 物理学 2010-11-01 S. J. Poletti , J. Twamley , D. L. Wiltshire

No-hair theorems are uniqueness results constraining the form of the metric of black holes in general relativity. These theorems are typically formulated under idealized assumptions, involving a mixture of local (regularity of the horizon)…

广义相对论与量子宇宙学 · 物理学 2025-08-19 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

We study the existence of analogue nonstationary spherically symmetric black holes. The prime example is the acoustic model (cf. [V], [U]). We consider also a more general class of metrics that could be useful in other physical models of…

数学物理 · 物理学 2015-06-16 Gregory Eskin

We prove a version the Penrose inequality for black hole space-times which are perturbations of the Schwarzschild exterior in a slab around a null hypersurface $\underline{\mathcal{N}}_0$. $\underline{\mathcal{N}}_0$ terminates at past null…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Spyros Alexakis