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The nonlinear instability of anti-de Sitter spacetime has recently been established with the striking result that generic initial data collapses to form black holes. This outcome suggests that confined matter generically collapses, and that…

广义相对论与量子宇宙学 · 物理学 2014-03-05 Hirotada Okawa , Vitor Cardoso , Paolo Pani

We study the backwards-in-time stability of the Schwarzschild singularity from a dynamical PDE point of view. More precisely, considering a spacelike hypersurface $\Sigma_0$ in the interior of the black hole region, tangent to the singular…

广义相对论与量子宇宙学 · 物理学 2016-07-20 Grigorios Fournodavlos

We consider a possibility to construct a quantum-mechanical model of spacetime, where Planck size quantum black holes act as the fundamental constituents of space and time. Spacetime is assumed to be a graph, where black holes lie on the…

广义相对论与量子宇宙学 · 物理学 2007-06-20 Jarmo Makela

We consider a class of spherically symmetric spacetime to obtain some interesting solutions in F(R) gravity without matter field (pure gravity). We investigate the geometry of the solutions and find that there is an essential singularity at…

广义相对论与量子宇宙学 · 物理学 2014-03-03 S. H. Hendi , B. Eslam Panah , C. Corda

We report that a class of three-dimensional bimetric theories contain asymptotically flat solutions. These spacetimes can be cast in a set of asymptotic conditions at null infinity which are preserved under the infinite dimensional BMS…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Hernan A. Gonzalez , Miguel Pino

We explicitly construct static black hole solutions to the fully non-linear, D=4, Einstein-Maxwell-AdS equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but…

广义相对论与量子宇宙学 · 物理学 2016-11-30 Carlos A. R. Herdeiro , Eugen Radu

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

We show that static electro--vacuum black hole space--times containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non--degenerate components of the event horizon do not exist. This is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Piotr T. Chrusciel , Paul Tod

The existence and stability under linear perturbation of closed timelike curves in the spacetime associated to Schwarzschild black hole pierced by a spinning string are studied. Due to the superposition of the black hole, we find that the…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Valeria M. Rosa , Patricio S. letelier

In this article, using gravitational decoupling by means of minimal geometric deformation approach, we obtain a new spherically symmetric and static black hole solution. To progress, we close the system by assuming that the average pressure…

广义相对论与量子宇宙学 · 物理学 2023-08-25 Francisco Tello-Ortiz , Ángel Rincón , A. Alvarez , Saibal Ray

We propose a new classical theory of gravity which is based on the principle of equivalence and assumption that gravity, similarly to electrodynamics, is described by a vector field in Minkowski space-time. We show that such assumptions…

广义相对论与量子宇宙学 · 物理学 2009-04-22 Anatoly A. Svidzinsky

We demonstrate the classical stability of the BTZ black hole within the context of topologically massive gravity. The linearized perturbation equations can be solved exactly in this case. By choosing standard boundary conditions appropriate…

高能物理 - 理论 · 物理学 2011-02-25 Danny Birmingham , Susan Mokhtari , Ivo Sachs

We construct a static spherically symmetric regular black hole with a Minkowski core, and a degenerate inner horizon with vanishing surface gravity. The spacetime contains a non-extremal outer horizon and exhibits two notable features.…

广义相对论与量子宇宙学 · 物理学 2026-05-18 Zhong-Wen Feng , Hong-Lin Liu , Yi Ling , Qing-Quan Jiang

We prove that equality within the Minkowski inequality for asymptotically flat static manifolds is achieved only by slices of Schwarzschild space.

微分几何 · 数学 2026-01-01 Brian Harvie , Ye-Kai Wang

In the multihorizon black hole spacetimes, it is possible that there are degenerate Cauchy horizons with vanishing surface gravities. We investigate the stability of the degenerate Cauchy horizon in black hole spacetimes. Despite the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Rong-Gen Cai

Under certain conditions, we give a new way to prove the uniqueness of static black hole in higher dimensional asymptotically flat spacetimes. In the proof, the Penrose inequality plays a key role in higher dimensions as well as four…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Ryosuke Mizuno , Seiju Ohashi , Tetsuya Shiromizu

The Klein-Gordon equation in the Rindler space-time is studied carefully. It is shown that the stable properties depend on using what time coordinate to define the initial time. If we use the Rindler time, the scalar field is stable.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Tian Gui-hua , Shi-kun Wang , Shuquan Zhong

We study spherically symmetric geometries made of anisotropic perfect fluid based on general relativity. The purpose of the work is to find and classify black hole solutions in closed spacetime. In a general setting, we find that a static…

广义相对论与量子宇宙学 · 物理学 2017-10-04 Hyeong-Chan Kim

We study a special two-dimensional dilaton gravity with Lagrangian $\mathcal{L}=\frac{1}{2}\sqrt{-g}(\phi R+{\lambda^2}{\rm sech}^2\phi)$ where $\lambda$ is a parameter of dimension mass. This theory describes two-dimensional spacetimes…

高能物理 - 理论 · 物理学 2021-08-30 Wen-Yuan Ai

A quest for phenomenological footprints of quantum gravity is among the central scientific tasks in the rising era of gravitational wave astronomy. We study gravitational wave dynamics within the noncommutative geometry framework, based on…

广义相对论与量子宇宙学 · 物理学 2024-05-24 Nikola Herceg , Tajron Jurić , Andjelo Samsarov , Ivica Smolić , Kumar S. Gupta