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There is no proof that black holes contain singularities when they are generated by real physical bodies. Roger Penrose claimed sixty years ago that trapped surfaces inevitably lead to light rays of finite affine length (FALL's). Penrose…

广义相对论与量子宇宙学 · 物理学 2023-12-05 R. P. Kerr

The Penrose inequality gives a lower bound for the total mass of a spacetime in terms of the area of suitable surfaces that represent black holes. Its validity is supported by the cosmic censorship conjecture and therefore its proof (or…

广义相对论与量子宇宙学 · 物理学 2009-10-02 Marc Mars

Recently Herzlich proved a Penrose-like inequality with a coefficient being a kind of a Sobolev constant. We show that this constant tends to zero for charged black holes approaching maximal Reissner-Nordstroem solutions. The method…

广义相对论与量子宇宙学 · 物理学 2011-03-17 K. Roszkowski , E. Malec

A sigma model formulation for static dilaton black holes with N Abelian gauge fields was presented. We proved uniqueness of static asymptotically flat spacetimes with non-degenerate black holes for the considered theory.

高能物理 - 理论 · 物理学 2009-11-07 Marek Rogatko

Unique features of particle orbits produce novel signatures of gravitational observable phenomena, and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a…

广义相对论与量子宇宙学 · 物理学 2023-10-24 Shao-Wen Wei , Yu-Peng Zhang , Yu-Xiao Liu , Robert B. Mann

The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Piotr T. Chruściel , João Lopes Costa , Markus Heusler

Penrose's original heuristic for his eponymous spacetime inequality -- a conjectured lower bound on the ADM mass in terms of the area of a horizon cross-section -- relies on the black hole final state conjecture. In this paper we isolate a…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Ahmed Ellithy

We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama,…

高能物理 - 理论 · 物理学 2008-11-26 Danny Birmingham , Susan Mokhtari

We show uniqueness of stationary and asymptotically flat black hole space-times with multiple disconnected horizons and with two rotational Killing vector fields in the context of five-dimensional minimal supergravity…

高能物理 - 理论 · 物理学 2014-11-20 Jay Armas , Troels Harmark

A global uniqueness theorem for stationary black holes is proved as a direct consequence of the Topological Censorship Theorem and the topological classification of compact, simply connected four-manifolds.

高能物理 - 理论 · 物理学 2009-10-30 Gabor Etesi

In this paper, we study existence and stability of static black holes in Lovelock theories with a particular focus on pure Lovelock black holes. We derive the equation of stability from action without using S-deformation approach. It turns…

广义相对论与量子宇宙学 · 物理学 2014-08-08 Radouane Gannouji , Naresh Dadhich

Riemannian Penrose Inequalities are precise geometric statements that imply that the total mass of a zero second fundamental form slice of a spacetime is at least the mass contributed by the black holes, assuming that the spacetime has…

微分几何 · 数学 2024-03-21 Hubert Bray , Yiyue Zhang

Various astrophysical and cosmological observations today serve as an indirect evidence of the existence of dark matter in the universe. In the present work, we propose a class of spacetimes that show some important characteristics relevant…

广义相对论与量子宇宙学 · 物理学 2022-12-07 Ashok B. Joshi , Divya Tahelyani , Dipanjan Dey , Pankaj S. Joshi

The singularity of the black hole solutions obtained before in M{\o}ller's theory are studied. It is found that although the two solutions reproduce the same associated metric the asymptotic behavior of the scalars of torsion tensor and…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Gamal G. L. Nashed

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Piotr T. Chrusciel

We establish a Penrose-type inequality with angular momenta for four dimensional, biaxially symmetric, maximal, asymptotically flat initial data sets $(M,g,k)$ for the Einstein equations with fixed angular momenta and horizon inner boundary…

广义相对论与量子宇宙学 · 物理学 2023-11-07 Aghil Alaee , Hari K. Kunduri

We prove uniqueness of static, asymptotically flat spacetimes with non-degenerate black holes for three special cases of Einstein-Maxwell-dilaton theory: For the coupling ``$\alpha = 1$'' (which is the low energy limit of string theory) on…

广义相对论与量子宇宙学 · 物理学 2013-09-02 Marc Mars , Walter Simon

A new solution of the Einstein equations for the point mass immersed in the de Sitter Universe is presented. The properties of the metric are very different from both the Schwarzschild black hole and the de Sitter Universe: it is everywhere…

广义相对论与量子宇宙学 · 物理学 2009-01-07 Krzysztof A. Meissner

We use the inverse mean curvature flow to establish Penrose-type inequalities for time-symmetric Einstein-Maxwell initial data sets which can be suitably embedded as a hypersurface in Euclidean space $\mathbb R^{n+1}$, $n\geq 3$. In…

微分几何 · 数学 2014-01-07 Levi Lopes de Lima , Frederico Girão , Weslley Lozório , Juscelino Silva

We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly established monotonicity formula holding along the level…