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We consider the recently proposed non-relativistic Ho\v{r}ava-Lifshitz four-dimensional theory of gravity. We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations…

高能物理 - 理论 · 物理学 2010-04-06 Alex Kehagias , Konstadinos Sfetsos

We construct exact solutions that describe the near horizon region of extremal rotating black holes in Einstein-Born-Infeld theory. Using generalized Komar integrals, we extract the electric charge and angular momentum from the near horizon…

广义相对论与量子宇宙学 · 物理学 2025-09-17 Tomáš Hale , Robie A. Hennigar , David Kubizňák

Recently, a renormalizable gravity theory with higher spatial derivatives in four dimensions was proposed by Horava. The theory reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but it has improved UV behaviors.…

广义相对论与量子宇宙学 · 物理学 2009-08-25 Tiberiu Harko , Zoltán Kovács , Francisco S. N. Lobo

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

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 introduce a two-step procedure for finding Kerr-type rotating black hole solutions without tears. Considering the low-energy sector of Horava gravity as a viable Lorentz-violating gravity in four dimensions which admits a different speed…

高能物理 - 理论 · 物理学 2024-08-15 Deniz O. Devecioglu , Mu-In Park

The motion of a neutral particle in the vicinity of a slowly rotating black hole in the Horava-Lifshitz theory of gravity and 3+1 dimensional topological Lifshitz black hole is investigated. Geodesics for radial motion of the particles are…

广义相对论与量子宇宙学 · 物理学 2015-04-16 Ibrar Hussain , Mubasher Jamil , Bushra Majeed

We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz gravity. In particular, we show that a Legendre invariant metric derived in the context of…

高能物理 - 理论 · 物理学 2015-05-27 Hernando Quevedo , Alberto Sanchez , Safia Taj , Alejandro Vazquez

The formation of spacetime singularities is a quite common phenomenon in General Relativity and it is regulated by specific theorems. It is widely believed that spacetime singularities do not exist in Nature, but that they represent a…

广义相对论与量子宇宙学 · 物理学 2013-04-08 Cosimo Bambi , Leonardo Modesto

We review the Seiberg-Witten instability of topological black holes in Anti-de Sitter space due to nucleation of brane-anti-brane pairs. We start with black holes in general relativity, and then proceed to discuss the peculiar property of…

高能物理 - 理论 · 物理学 2013-04-15 Yen Chin Ong , Pisin Chen

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

广义相对论与量子宇宙学 · 物理学 2010-03-30 Christopher Eling , Ted Jacobson

We study the possibility of non-singular black hole solutions in the theory of general relativity coupled to a non-linear scalar field with a positive potential possessing two minima: a `false vacuum' with positive energy and a `true…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Dmitri V. Gal'tsov , Jose' P. S. Lemos

We study black holes in the infrared sector of three-dimensional Ho\v{r}ava gravity. It is shown that black hole solutions with anti-de Sitter asymptotics are admissible only in the sector of the theory in which the scalar degree of freedom…

广义相对论与量子宇宙学 · 物理学 2014-08-26 Thomas P. Sotiriou , Ian Vega , Daniele Vernieri

Recent nonlinear completions of Fierz-Pauli theory for a massive spin-2 field include nonlinear massive gravity and bimetric theories. The spectrum of black-hole solutions in these theories is rich, and comprises the same vacuum solutions…

广义相对论与量子宇宙学 · 物理学 2013-08-26 Richard Brito , Vitor Cardoso , Paolo Pani

We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

广义相对论与量子宇宙学 · 物理学 2025-07-02 Lang Cheng , Peng Wang

Thermodynamical properties of black holes in gravitational theories without Local Lorentz invariance have been subject to intense investigation in the past years due to the presence of universal horizons, which are strong causal barriers…

广义相对论与量子宇宙学 · 物理学 2017-06-20 Costantino Pacilio , Stefano Liberati

We present a new stationary solution to the field equations of Ho\v{r}ava-Lifshitz gravity with the detailed balance condition and for any value of the coupling constant \lambda > 1/3 . This is the generalization of the corresponding…

高能物理 - 理论 · 物理学 2016-08-14 Alikram N. Aliev , Çetin Şentürk

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

广义相对论与量子宇宙学 · 物理学 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

Solutions of Horava gravity that are asymptotically Lifshitz are explored. General near boundary expansions allow the calculation of the mass of these spacetimes via a Hamiltonian method. Both analytic and numeric solutions are studied…

高能物理 - 理论 · 物理学 2015-06-18 Stefan Janiszewski

The most general spherically symmetric solution with zero shift is found in the non-projectable Horava-Lifshitz class of theories with general coupling constants. It contains as special cases, spherically symmetric solutions found by other…

高能物理 - 理论 · 物理学 2015-05-14 Elias Kiritsis , Georgios Kofinas