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In General Relativity, Birkhoff's theorem asserts that any spherically symmetric vacuum solution must be static and asymptotically flat. In this paper, we study the validity of Birkhoff's theorem for a broad class of modified gravity…

广义相对论与量子宇宙学 · 物理学 2025-11-07 Rajes Ghosh , Akash K Mishra , Avijit Chowdhury

We consider the vacuum gravitational collapse for cohomogeneity-two solutions of the nine dimensional Einstein equations. Using combined numerical and analytical methods we give evidence that within this model the Schwarzschild-Tangherlini…

广义相对论与量子宇宙学 · 物理学 2009-11-11 P. Bizoń , T. Chmaj , A. Rostworowski , B. G. Schmidt , Z. Tabor

A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter…

高能物理 - 理论 · 物理学 2010-11-01 Youngjai Kiem

The occurrence of a spacetime singularity indicates the breakdown of Einstein gravitation theory in these extreme regimes. We consider here the singularity issue and various black hole paradoxes at classical and quantum levels. It is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rituparno Goswami , Pankaj S. Joshi

According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general…

广义相对论与量子宇宙学 · 物理学 2026-02-24 Raúl Carballo-Rubio

In the three-dimensional pure Einstein gravity, the geometries of the vacuum space-times are always trivial, and gravitational waves (gravitons) are strictly forbidden. For the first time, we find a vacuum circularly symmetric black hole…

综合物理 · 物理学 2014-12-22 Hongsheng Zhang , Dao-Jun Liu , Xin-Zhou Li

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

广义相对论与量子宇宙学 · 物理学 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

广义相对论与量子宇宙学 · 物理学 2009-07-07 Anzhong Wang

We study an analytical solution to the Einstein's equations in 2+1-dimensions, representing the self-similar collapse of a circularly symmetric, minimally coupled, massless, scalar field. Depending on the value of certain parameters, this…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. Oliveira-Neto

We numerically simulate gravitational collapse in asymptotically anti-de Sitter spacetimes away from spherical symmetry. Starting from initial data sourced by a massless real scalar field, we solve the Einstein equations with a negative…

高能物理 - 理论 · 物理学 2017-11-08 Hans Bantilan , Pau Figueras , Markus Kunesch , Paul Romatschke

The vacuum Einstein equations in five dimensions are shown to admit a solution describing an asymptotically flat spacetime regular on and outside an event horizon of topology S^1 x S^2. It describes a rotating ``black ring''. This is the…

高能物理 - 理论 · 物理学 2009-07-09 Roberto Emparan , Harvey S. Reall

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

广义相对论与量子宇宙学 · 物理学 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

We discuss simple vacuum solutions to the Einstein Equations in five dimensional space-times compactified in two different ways. In such spaces, one black hole phase and more then one black string phase may exist. Several old metrics are…

高能物理 - 理论 · 物理学 2009-11-11 Mihai Bondarescu

We study spherically symmetric solutions to the Einstein field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. The general solution of Synge is extended to describe systems of any…

广义相对论与量子宇宙学 · 物理学 2014-11-17 A. Das , A. DeBenedictis

The Einstein equation in D dimensions, if restricted to the class of space-times possessing n = D - 2 commuting hypersurface-orthogonal Killing vectors, can be equivalently written as metric-dilaton gravity in 2 dimensions with n scalar…

广义相对论与量子宇宙学 · 物理学 2009-10-30 H. -J. Schmidt

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

A semiclassical two-dimensional dilaton-gravity model is obtained by dimensional reduction of the spherically symmetric five-dimensional Einstein equations and used to investigate black hole evaporation. It is shown that this model prevents…

广义相对论与量子宇宙学 · 物理学 2016-08-14 P. F. González-Díaz

Three dimensional space is said to be spherically symmetric if it admits SO(3) as the group of isometries. Under this symmetry condition, the Einsteins Field equations for vacuum, yields the Schwarzschild Metric as the unique solution,…

广义相对论与量子宇宙学 · 物理学 2026-03-05 Avijit Mukherjee , Subham B Roy

We consider three dimensional Einstein gravity non-minimally coupled to a real scalar field with a self-interacting scalar potential and present the exact black hole formation in three dimensions. Firstly we obtain an exact time-dependent…

高能物理 - 理论 · 物理学 2014-10-23 Wei Xu

Assuming SO(3)-spherical symmetry, the 4-dimensional Einstein equation reduces to an equation conformally related to the field equation for 2-dimensional gravity following from the Lagrangian L = R^(1/3). Solutions for 2-dimensional gravity…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. -J. Schmidt
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