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Static observers remain on Killing-vector world lines and measure the rest-mass+kinetic energies of particles moving past them, and the flux of that mechanical energy through space and time. The total mechanical energy is the total flux…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Joseph Katz , Donald Lynden-Bell , Jiri Bicak

In this paper I present an action principle for odd dimensional AdS gravity which consists of introducing another manifold with the same boundary and a very specific boundary term. This new action allows and alternative approach to the…

High Energy Physics - Theory · Physics 2007-08-23 Pablo Mora

A new class of higher-curvature modifications of $D(\geq 4$)-dimensional Einstein gravity has been recently identified. Densities belonging to this "Generalized quasi-topological" class (GQTGs) are characterized by possessing non-hairy…

High Energy Physics - Theory · Physics 2020-01-08 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar

Higher-derivative corrections in the AdS/CFT correspondence allow us to capture finer details of the dual CFT and to explore the holographic dictionary beyond the infinite N and strong coupling limits. Following an effective field theory…

High Energy Physics - Theory · Physics 2025-03-24 Pablo A. Cano , Marina David

The energy of gravitating systems has been an issue since Einstein proposed general relativity: considered to be ill defined, having no proper local density. Energy-momentum is now regarded as \emph{quasi-local} (associated with a closed…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Chiang-Mei Chen , Jian-Liang Liu , James M. Nester

We study two large classes of alternative theories, modifying the action through algebraic, quadratic curvature invariants coupled to scalar fields. We find one class that admits solutions that solve the vacuum Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Leo C. Stein

We construct a new class of rotating AdS black hole solutions with non-compact event horizons of finite area in any dimension and study their thermodynamics. In four dimensions these black holes are solutions to gauged supergravity. We find…

High Energy Physics - Theory · Physics 2015-07-22 Robie A. Hennigar , David Kubiznak , Robert B. Mann

We present a precise definition of a conserved quantity from an arbitrary covariantly conserved current available in a general curved spacetime with Killing vectors. This definition enables us to define energy and momentum for matter by the…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Sinya Aoki , Tetsuya Onogi , Shuichi Yokoyama

Recently, the identification of new higher-curvature interactions known as Einsteinian cubic gravity (ECG) and Generalized quasi-topological gravities (GQGs) has allowed for important advances in the study of black hole solutions and…

High Energy Physics - Theory · Physics 2019-12-17 Pablo A. Cano

The field equations of a special class of tetrad theory of gravitation have been applied to tetrad space having three unknown functions of radial coordinate. The spherically symmetric vacuum stress-energy momentum tensor with one assumption…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Gamal G. L. Nashed

The EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in the form of a Gauss-Bonnet (GB) term in $ D > 4$ dimensions, and EGB gravity is topologically invariant in $4D$. Several ways have been…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Arun Kumar , Sushant G. Ghosh

Kerr-AdS$_{d+1}$ black holes for $d\geq 3$ suffer from classical superradiant instabilities over a range of masses above extremality. We conjecture that these instabilities settle down into Grey Galaxies (GGs) - a new class of…

High Energy Physics - Theory · Physics 2023-06-30 Seok Kim , Suman Kundu , Eunwoo Lee , Jaeha Lee , Shiraz Minwalla , Chintan Patel

In this note we give a general definition of the gravitational tension in a given asymptotically translationally-invariant spatial direction of a space-time. The tension is defined via the extrinsic curvature in analogy with the…

High Energy Physics - Theory · Physics 2009-11-10 T. Harmark , N. A. Obers

We calculate, in the context of higher dimensional gravity, the stress-energy tensor and Weyl anomaly associated with anti-de Sitter and anti-de Sitter black hole solutions. The boundary counter-term method is used to regularize the action…

High Energy Physics - Theory · Physics 2007-05-23 A. DeBenedictis , K. S. Viswanathan

Towards the goal to quantize gravity, in this short review we discuss an intermediate step which consists in extending the picture of standard General Relativity by considering Extended Theories of Gravity. In this tapestry, the equations…

General Relativity and Quantum Cosmology · Physics 2014-03-03 Christian Corda

We derive the so-called first law of black hole mechanics for variations about stationary black hole solutions to the Einstein--Maxwell equations in the absence of sources. That is, we prove that $\delta M=\kappa\delta A+\omega\delta J+VdQ$…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Rafael D. Sorkin , Madhavan Varadarajan

Using a modified expression for the electric potential in the context of T-duality (Gaete and Nicolini, Phys. Lett. B, 2022) we obtain an exact charged solution within 4D Einstein-Gauss-Bonnet (4D EGB) theory of gravity in the presence of a…

General Relativity and Quantum Cosmology · Physics 2023-02-10 Kimet Jusufi

The first order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li

The emergence of the quantum gravitational effects in a very high energy regime necessitates some corrections to the thermodynamics of Black holes. In this letter, we investigate a possible modification to the thermodynamics of…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Akram Sadat Sefiedgar

Einstein's gravity in AdS space coupled to nonlinear electrodynamics is studied. We analyse the metric, mass functions and corrections to the Reissner-Nordstrom solution. Magnetic black holes thermodynamics in extended phase space is…

General Physics · Physics 2024-01-30 S. I. Kruglov