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A universal geometric inequality for bodies relating energy, size, angular momentum, and charge is naturally implied by Bekenstein's entropy bounds. We establish versions of this inequality for axisymmetric bodies satisfying appropriate…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Jaroslaw S. Jaracz , Marcus A. Khuri

As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

General Relativity and Quantum Cosmology · Physics 2022-09-22 R. Meinel

In the context of Born-Infeld gravity theories we report the existence of a regular black hole interior representing a spherically symmetric vacuum solution of the theory. It reduces to the Schwarzschild interior metric in the weak field…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Christian G. Boehmer , Franco Fiorini

We propose a boundary term to the Einstein-Gauss-Bonnet action for gravity, which is constructed as the dimensional continuation of the Chern-Weil theorem, and such that the extremization of the full action yields the equations of motion…

General Relativity and Quantum Cosmology · Physics 2018-05-16 Nathalie Deruelle , Nelson Merino , Rodrigo Olea

We study quantum aspects of the Einstein gravity with one time-like and one space-like Killing vector commuting with each other. The theory is formulated as a $\coset$ nonlinear $\sigma$-model coupled to gravity. The quantum analysis of the…

High Energy Physics - Theory · Physics 2009-10-28 Y. Satoh

The Ba\~nados-Teitelboim-Zanelli (BTZ) black hole metric solves the three-dimensional Einstein's theory with a negative cosmological constant as well as all the generic higher derivative gravity theories based on the metric; as such it is a…

High Energy Physics - Theory · Physics 2019-10-02 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

Kerrr in the title is not a typo. The third "r" stands for "regular", in the sense of pathology-free, rotating black hole. We exhibit a long search-for, exact, Kerr-like, solution of the Einstein equations with novel features: i) no…

High Energy Physics - Theory · Physics 2015-03-13 Anais Smailagic , Euro Spallucci

A solution of Einstein's vacuum field equation is derived that describes a general boosted Kerr black hole relative to a Lorentz frame at future null infinity. The metric contains five independent parameters -- mass $m$, rotation $\omega$,…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Ivano Damião Soares

Einstein's equations of general relativity (GR) can describe the connection between events within a given hypervolume of size $L$ larger than the Planck length $L_P$ in terms of wormhole connections where metric fluctuations give rise to an…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Fabrizio Tamburini , Ignazio Licata

Here we present a novel classical model to describe the near-inner horizon geometry of a rotating, accreting black hole. The model assumes spacetime is homogeneous and is sourced by radial streams of a collisionless, null fluid, and it…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Tyler McMaken , Andrew J. S. Hamilton

Quantum aspects of black holes represent an important testing ground for a theory of quantum gravity. The recent success of string theory in reproducing the Bekenstein-Hawking black hole entropy formula provides a link between general…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ramzi R. Khuri

Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Valeri P. Frolov , Alex Koek , Jose Pinedo Soto , Andrei Zelnikov

Black hole solutions to the Einstein equations coupled with the Born--Infeld electromagnetism associated with generalized nonlinear electrodynamics, carrying both electric and magnetic charges, often referred to as dyonically charged black…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Yisong Yang

Recently it was established in Einstein-Maxwell-Dilaton gravity that the KSS viscosity/entropy ratio associated with AdS planar black holes can be viewed as the boundary dual to the generalized Smarr relation of the black holes in the bulk.…

High Energy Physics - Theory · Physics 2016-05-11 Hai-Shan Liu

The Einstein-Rosen "bridge" wormhole solution proposed in the classic paper [1] does not satisfy the vacuum Einstein equations at the wormhole throat. We show that the fully consistent formulation of the original Einstein-Rosen "bridge"…

High Energy Physics - Theory · Physics 2010-04-29 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

We analyze black hole thermodynamics in a generalized theory of gravity whose Lagrangian is an arbitrary function of the metric, the Ricci tensor and a scalar field. We can convert the theory into the Einstein frame via a "Legendre"…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jun-ichirou Koga , Kei-ichi Maeda

A class of exact solutions of Einstein's equations is analysed which describes uniformly accelerating charged black holes in an asymptotically de Sitter universe. This is a generalisation of the C-metric which includes a cosmological…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky , J. B. Griffiths

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

Recent works suggest that quantum theory may support a unification of the notions of space and time, thus treating the spatial and temporal quantum correlations equally. Specifically, the partial transposition of the maximally entangled…

High Energy Physics - Theory · Physics 2024-10-15 Ovidiu Racorean

Careful analysis of parametrized variational principles in mechanics and field theory leads to a generalization of Einstein theory that includes a cosmological stress tensor. This generalization also follows by restricting variations of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arlen Anderson