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An exact solution of the vacuum Einstein field equations over a nonsimply-connected manifold is presented. This solution is spherically symmetric and has no curvature singularity. It can be considered to be a regularization of the…

General Relativity and Quantum Cosmology · Physics 2013-09-06 F. R. Klinkhamer

We show that the 4+1 dimensional vacuum Einstein equations admit gravitational waves with radial symmetry. The dynamical degrees of freedom correspond to deformations of the three-sphere orthogonal to the $(t,r)$ plane. Gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Piotr Bizoń , Tadeusz Chmaj , Bernd G. Schmidt

An outstanding problem posed by Einstein's general theory of relativity to the quantum theory of point particle fields is the fate of a massive point particle; for, in the classical solutions of Einstein's theory, such a system should be a…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. F. L. Ward

A definition of a Newtonian black hole is possible which incorporates the mass-energy equivalence from special relativity. However, exploiting a double spherical shell model, it will be shown that the ensuing gravitational self-energy and…

General Physics · Physics 2013-03-12 G. Dillon

Our aim in this work is to outline some physical consequences of the interaction between black holes and scalar field halos in terms of gravitational waves. In doing so, the black hole is taken as a static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2011-09-06 Darío Núnez , Juan Carlos Degollado , Claudia Moreno

Traversible wormhole space-times are found as static, spherically symmetric solutions to the Einstein equations with ingoing and outgoing pure ghost radiation, i.e. pure radiation with negative energy density. Switching off the radiation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sean A. Hayward

Gravitational shockwaves are simple exact solutions of Einstein equations representing the fields of ultrarelativistic sources and idealized gravitational waves (shocks). Historically, much work has focused on shockwaves in the context of…

High Energy Physics - Theory · Physics 2021-11-24 Finnian Gray , David Kubiznak , Taillte May , Sydney Timmerman , Erickson Tjoa

Using numerical and perturbative methods, we construct the first examples of black hole solutions in Einsteinian cubic gravity and study their thermodynamics. Focusing first on four dimensional solutions, we show that these black holes have…

High Energy Physics - Theory · Physics 2017-04-05 Robie A. Hennigar , Robert B. Mann

We extend the formulation for perturbations of maximally symmetric black holes in higher dimensions developed by the present authors in a previous paper (hep-th/0305147) to a charged black hole background whose horizon is described by an…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Kodama , Akihiro Ishibashi

The quasinormal mode spectrum of gravitational waves emitted during the black hole ringdown relaxation phase, following the merger of a black hole binary, is a crucial target of gravitational wave astronomy. By considering causality…

General Relativity and Quantum Cosmology · Physics 2024-11-20 A. Kehagias , A. Riotto

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

A deformation of the wave equation on a two-dimensional black hole is considered as a toy-model for possible gravitational or stringy nonlocal effects. The deformed wave-equation allows for an initial-value problem despite being nonlocal.…

High Energy Physics - Theory · Physics 2009-10-31 J. Teschner

In this essay we argue that once quantum gravitational effects change the classical geometry of a black hole and remove the curvature singularity, the black hole would not evaporate entirely but approach a remnant. In a modified…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Li Xiang , Yi Ling , You Gen Shen

We consider the scattering of gravitational waves off a Schwarzschild black hole in $f(R)$ gravity. We show that the reflection and transmission coefficients for tensor waves are the same as in General Relativity. While the scalar waves,…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Dan B. Sibandze , Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki , Peter K. S. Dunsby

We consider some implications of the departure from spherical symmetry for static solutions of the vacuum Einstein's equations describing black hole mimickers. In particular, we investigate how the presence of mass quadrupole moment affects…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Daniele Malafarina , Sabina Sagynbayeva

Ultra-light primordial black holes, with masses $m_\mathrm{PBH}<10^9\mathrm{g}$, evaporate before big-bang nucleosynthesis and can therefore not be directly constrained. They can however be so abundant that they dominate the universe…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-31 Theodoros Papanikolaou , Vincent Vennin , David Langlois

We show that in four or more spacetime dimensions, the Einstein equations for gravitational perturbations of maximally symmetric vacuum black holes can be reduced to a single 2nd-order wave equation in a two-dimensional static spacetime for…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama , Akihiro Ishibashi

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Rezzolla , A. M. Abrahams , T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

The formation and quantum mechanical evaporation of black holes in two spacetime dimensions can be studied using effective classical field equations, recently introduced by Callan {\it et al.} We find that gravitational collapse always…

High Energy Physics - Theory · Physics 2008-11-26 J. Russo , L. Susskind , L. Thorlacius

We discuss dynamical aspects of gravitational plane waves in Einstein theory with massless scalar fields. The general analytic solution describes colliding gravitational waves with constant polarization, which interact with scalar waves…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Jorge G. Russo