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Regularity theorems are presented for cosmology and gravitational collapse in non-Riemannian gravitational theories. These theorems establish conditions necessary to allow the existence of timelike and null path complete spacetimes for…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. W. Moffat

In this paper, we show a no-go theorem for static spherically symmetric black holes with vector hair in Einstein-$\Lambda$-Vector-Tensor-Gauss-Bonnet theory where a complex vector field non-minimally couples with Gauss-Bonnet invariant. For…

General Relativity and Quantum Cosmology · Physics 2023-08-16 S. Matsumoto

We study the quasinormal modes of the massless scalar perturbation in the background of a deformed black hole in the Ho\v{r}ava-Lifshitz gravity with coupling constant $\lambda=1$. Our results show that the quasinormal frequencies depend on…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Songbai Chen , Jiliang Jing

A Lifshitz point is described by a quantum field theory with anisotropic scale invariance (but not Galilean invariance). In arXiv:0808.1725, gravity duals were conjectured for such theories. We construct analytically a black hole which…

High Energy Physics - Theory · Physics 2015-05-14 Koushik Balasubramanian , John McGreevy

We drop the complexification procedure from the Newman-Janis algorithm and introduce more physical arguments and symmetry properties, and we show how one can generate regular and singular rotating black hole and non-black-hole solutions in…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Mustapha Azreg-Aïnou

Extensions of Einstein gravity with higher-order derivative terms arise in string theory and other effective theories, as well as being of interest in their own right. In this paper we study static black-hole solutions in the example of…

High Energy Physics - Theory · Physics 2015-05-06 H. Lu , A. Perkins , C. N. Pope , K. S. Stelle

In this paper, we first show that the definition of the universal horizons studied recently in the khrononmetric theory of gravity can be straightforwardly generalized to other theories that violate the Lorentz symmetry, by simply…

General Relativity and Quantum Cosmology · Physics 2015-01-05 Kai Lin , Elcio Abdalla , Rong-Gen Cai , Anzhong Wang

We consider arbitrary stationary and axisymmetric black holes in general relativity in $(d +1)$ dimensions (with $d \geq 3$) that satisfy the vacuum Einstein equation and have a non-degenerate horizon. We prove that the canonical energy of…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Kartik Prabhu , Robert M. Wald

We study slowly rotating black hole solutions in the six independent theories of Einstein Quartic Gravity (EQG) in four dimensions. Unlike in the static case for which all six theories yield the same solution, for rotating black holes we…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Gareth Arturo Marks , Robert B. Mann , Damian Sheppard

In this paper, we investigate the existence of Lifshitz solutions in Lovelock gravity, both in vacuum and in the presence of a massive vector field. We show that the Lovelock terms can support the Lifshitz solution provided the constants of…

High Energy Physics - Theory · Physics 2014-11-20 M. H. Dehghani , R. B. Mann

In this summary article, we review and discuss the non-existence of stationary black hole solutions for the Einstein-Dirac-Maxwell equations.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Felix Finster , Joel Smoller , Shing-Tung Yau

The anti--de Sitter/conformal field theory (AdS/CFT) correspondence is a powerful tool that promises to provide new insights toward a full understanding of field theories under extreme conditions, including but not limited to quark-gluon…

High Energy Physics - Theory · Physics 2011-11-29 Yen Chin Ong , Pisin Chen

The motion of superluminal particles in the gravitational field of a non-rotating black hole is analyzed. The relativistic Hamilton-Jacobi equation is solved for particles with imaginary rest mass. It is shown that there are no stable…

General Relativity and Quantum Cosmology · Physics 2013-01-24 V. M. Lipunov

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shuang Yu , Changjun Gao

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

We present arguments for the existence of charged, rotating black holes with equal-magnitude angular momenta in an odd number of dimensions $D\geq 5$. These solutions posses a regular horizon of spherical topology and approach…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jutta Kunz , Francisco Navarro-Lerida , Eugen Radu

We study asymptotically Lifshitz solutions to three dimensional higher spin gravity in the SL(3,R)xSL(3,R) Chern-Simons formulation. We begin by specifying the most general connections satisfying Lifshitz boundary conditions, and we verify…

High Energy Physics - Theory · Physics 2015-06-17 Michael Gutperle , Eliot Hijano , Joshua Samani

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…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Prashant Kocherlakota , Ramesh Narayan

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

Recent perturbative studies have shown the existence of long-lived, quasi-stationary configurations of scalar fields around black holes. In particular, such configurations have been found to survive for cosmological timescales, which is a…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font