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We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in particular for the presence of horizons, ergoregions and…

广义相对论与量子宇宙学 · 物理学 2024-10-07 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski , Martin Taylor

In recent works, a framework has been developed to describe (quantum) deformed, spherically symmetric and static black holes in four dimensions. The key idea of this so-called Effective Metric Description (EMD) is to parametrise…

广义相对论与量子宇宙学 · 物理学 2025-08-26 Stefan Hohenegger

We consider the motion of test particles in the spacetime of a black hole in f(R) gravity. The complete set of analytic solutions of the geodesic equation in the spacetime of this black hole are presented. The geodesic equations are solved…

广义相对论与量子宇宙学 · 物理学 2015-08-19 Saheb Soroushfar , Reza Saffari , Jutta Kunz , Claus Lämmerzahl

We study the properties of anti--de Sitter black holes with a Gauss-Bonnet term for various horizon topologies (k=0, \pm 1) and for various dimensions, with emphasis on the less well understood k=-1 solution. We find that the zero…

高能物理 - 理论 · 物理学 2009-11-10 Ishwaree P. Neupane

Chen and Teo have constructed a two-parameter family of five dimensional, stationary vacuum black hole solutions whose spatial hypersurfaces are asymptotically locally Euclidean with boundary at infinity is $L(2,1)$. Spatial cross sections…

广义相对论与量子宇宙学 · 物理学 2025-08-28 Federico Elizondo Lopez , Hari K. Kunduri , Hakim Temacini

We construct a novel exact solution of the Einstein-scalar-Maxwell equations describing a dynamical black hole immersed in an external, time-dependent electromagnetic field. Motivated by the need for more realistic analytical black hole…

广义相对论与量子宇宙学 · 物理学 2026-05-13 Jibril Ben Achour , Adolfo Cisterna , Amaro Díaz , Keanu Müller

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

广义相对论与量子宇宙学 · 物理学 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

The Kerr spacetime in Kaluza-Klein theory describes a rotating black hole in four dimensions from the Kaluza-Klein point of view and involves the signature of an extra dimension that shows up through the appearance of the electric and…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Alikram N. Aliev , Goksel Daylan Esmer

Many papers on modified gravity theories (MGTs), and metric-affine geometry have been published. New classes of black hole (BH), wormhole (WH), and cosmological solutions involving nonmetricity and torsion fields were constructed.…

综合物理 · 物理学 2025-06-13 Sergiu I. Vacaru

All black holes (BHs) in nature are expected to be described by the Kerr vacuum solution of general relativity (GR). However, the Kerr BH interior contains several problematic features such as a Cauchy horizon, a curvature singularity, and…

广义相对论与量子宇宙学 · 物理学 2024-10-23 Prashant Kocherlakota , Ramesh Narayan

We introduce a family of solutions of Einstein's gravity minimally coupled to an anisotropic fluid, describing asymptotically flat black holes with "hair" and a regular horizon. These spacetimes can describe the geometry of galaxies…

广义相对论与量子宇宙学 · 物理学 2022-03-23 Vitor Cardoso , Kyriakos Destounis , Francisco Duque , Rodrigo Panosso Macedo , Andrea Maselli

We present a survey of the known cosmological and black hole solutions in ghost-free bigravity and massive gravity theories. These can be divided into three classes. First, there are solutions with proportional metrics, which are the same…

高能物理 - 理论 · 物理学 2015-06-15 Mikhail S. Volkov

The uniqueness and rigidity of black holes remain central themes in gravitational research. In this work, we investigate the construction of all extremal black hole solutions to the Einstein equation for a given near-horizon geometry,…

高能物理 - 理论 · 物理学 2026-02-06 Jan Gutowski , Chettha Saelim , Martin Wolf

Recently, we introduced the Lorentzian-Euclidean black hole, a static and spherically symmetric solution of vacuum Einstein equations that exhibits a change in metric signature across the event horizon. In this framework, the analysis of…

广义相对论与量子宇宙学 · 物理学 2025-07-14 Salvatore Capozziello , Emmanuele Battista , Silvia De Bianchi

A recent notion of geodesic flows which comes out of noncommutative geometry but which is also novel in the classical case is studied in detail for a Schwarzschild spacetime. In this framework, the geodesic velocity field is an independent…

广义相对论与量子宇宙学 · 物理学 2026-03-04 Kaushlendra Kumar , Shahn Majid

Using perturbative expansion in terms of powers of the rotation parameter $a$ we construct the axisymmetric and asymptotically flat black-hole metric in the $D$-dimensional Einstein-Gauss-Bonnet theory. In five-dimensional spacetime we find…

广义相对论与量子宇宙学 · 物理学 2020-10-15 R. A. Konoplya , A. Zhidenko

We present a unified framework for the discussion of black hole thermodynamics of $d$-dimensional static black holes with spherical, toroidal or compact hyperbolic horizon topology satisfying $g_{tt}g_{rr}=-1$ in Schwarzschild gauge. To…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Johanna Borissova

Classical general relativity predicts a singularity at the center of a black hole, where known laws of physics break down. This suggests the existence of deeper, yet unknown principles of Nature. Among various theoretical possibilities, one…

广义相对论与量子宇宙学 · 物理学 2025-04-22 Nihar Ranjan Ghosh , Malay K. Nandy

In this paper we obtain an approximate solution of Einstein field equations which describes a general boosted Kerr-Newman black hole relative to a Lorentz frame at future null infinity. The boosted black hole is obtained from a general…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Rodrigo Maier

A new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (A)dS spacetimes, is derived for specific classes of $f(R)$ gravity, i.e., $f(R)=R-2\alpha\sqrt{R}$ and…

广义相对论与量子宇宙学 · 物理学 2019-07-18 Gamal G. L. Nashed , Salvatore Capozziello