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We derive the Einstein field equations and black hole entropy from the first law of thermodynamics on a holographic time-like screen. Because of the universality of gravity, the stress tensor on the screen must be independent of the details…

High Energy Physics - Theory · Physics 2012-07-10 Miao Li , Rong-Xin Miao , Jun Meng

We obtain exact expressions for the quasinormal modes (QNMs) of the massive scalar, fermionic and vector perturbations around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We find that the Lorentz symmetry breaking (LSB)…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Fangli Quan , Zhong-Wu Xia , Rui Ding , Qiyuan Pan , Jiliang Jing

We obtain two exact solutions of Einstein gravity coupled to nonlinear electrodynamics (NLED) in $(2+ 1)$-dimensional Anti-de Sitter (AdS) spacetime. The solutions are characterized by the mass $M$, angular momentum $J$, cosmological…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Pedro Cañate , Daniela Magos , Nora Breton

We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-07-10 Chikun Ding , Yu Shi , Jun Chen , Yuebing Zhou , Changqing Liu , Yuehua Xiao

The formation and evaporation of small AdS black holes in a theory with a holographic dual is governed by the usual rules of quantum mechanics. The eigenstate thermalization hypothesis explains the validity of semiclassical gravity for…

High Energy Physics - Theory · Physics 2022-05-27 David A. Lowe , Larus Thorlacius

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on…

High Energy Physics - Theory · Physics 2021-06-08 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

Motivated by possible applications within the framework of anti-de Sitter gravity/Conformal Field Theory (AdS/CFT) correspondence, charged black holes with AdS asymptotics, which are solutions to Einstein-Gauss-Bonnet gravity in D…

High Energy Physics - Theory · Physics 2011-02-03 Olivera Miskovic , Rodrigo Olea

Motivated by a low-energy effective description of gauge theory/string theory duality, we conjecture that the dynamics of $SO(4)$-invariant states in a large class of four-dimensional conformal gauge theories on $S^3$ with non-equal central…

High Energy Physics - Theory · Physics 2015-01-21 Alex Buchel , Stephen R. Green , Luis Lehner , Steven L. Liebling

Semiclassical Gravity replaces the energy momentum tensor $T_{\mu \nu}$ with its expectation value $\langle T_{\mu \nu}\rangle$ in Einstein equations, this making the Einstein tensor $G_{\mu \nu}$ a classical variable thus avoiding the…

Quantum Physics · Physics 2018-11-28 Sergio De Filippo

We investigate holography on an (n-1)-dimensional brane embedded in a background of AdS black holes, in n-dimensional Gauss-Bonnet gravity. We demonstrate that for a critical brane near the AdS boundary, the Friedmann equation corresponds…

High Energy Physics - Theory · Physics 2009-11-10 James P. Gregory , Antonio Padilla

We reconsider the role of wormholes in the AdS/CFT correspondence. We focus on Euclidean wormholes that connect two asymptotically AdS or hyperbolic regions with $\mathbb{S}^1\times \mathbb{S}^{d-1}$ boundary. There is no solution to…

High Energy Physics - Theory · Physics 2022-11-30 Jordan Cotler , Kristan Jensen

We derive a general formula for renormalized entanglement entropy in even dimensional CFTs holographically dual to Einstein gravity in one dimension higher. In order to renormalize, we adapt the Kounterterm method to asymptotically locally…

High Energy Physics - Theory · Physics 2020-01-08 Giorgos Anastasiou , Ignacio J. Araya , Alberto Guijosa , Rodrigo Olea

A recently proposed holographic duality allows the Bekenstein-Hawking entropy of extremal rotating black holes to be calculated microscopically, by applying the Cardy formula to the two-dimensional chiral CFTs associated with certain…

High Energy Physics - Theory · Physics 2009-03-19 H. Lu , Jianwei Mei , C. N. Pope , J. Vazquez-Poritz

We solve Einstein's equations with negative cosmological constant in $2+1$ dimensions in the Hamiltonian formulation. The spacetime has the topology of $\Sigma \times \mathbf{R}$ where $\mathbf{R}$ corresponds to the time direction and…

High Energy Physics - Theory · Physics 2025-10-28 Anurag Kaushal , Naveen S. Prabhakar , Spenta R. Wadia

We construct a generalized Smarr formula which could provide a thermodynamic route to derive the covariant field equation of general theories of gravity in dynamic spacetimes. Combining some thermodynamic variables and a new chemical…

High Energy Physics - Theory · Physics 2012-07-10 Shao-Feng Wu , Bin Wang , Xian-Hui Ge , Guo-Hong Yang

We study stress tensor correlation functions in four-dimensional conformal field theories with large $N$ and a sparse spectrum. Theories in this class are expected to have local holographic duals, so effective field theory in anti-de Sitter…

High Energy Physics - Theory · Physics 2018-01-17 Nima Afkhami-Jeddi , Thomas Hartman , Sandipan Kundu , Amirhossein Tajdini

Stochastic semiclassical gravity is a theory for the interaction of gravity with quantum matter fields which goes beyond the semiclassical limit. The theory predicts stochastic fluctuations of the classical gravitational field induced by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Enric Verdaguer

This work presents a novel methodology for deriving stationary and axially symmetric solutions to Einstein field equations using the 1+3 tetrad formalism. This approach reformulates the Einstein equations into first order scalar equations,…

General Relativity and Quantum Cosmology · Physics 2024-12-23 J. Ospino , J. L. Hernández-Pastora , A. V. Araujo-Salcedo , L. A. Núñez

This paper, presents the gravity duals of Conformal Field Theories with boundaries. This theory is known as AdS/BCFT correspondence. In this duality, our system has 3D gravity coupling with the Maxwell field dual to 2D BCFT. On the gravity…

High Energy Physics - Theory · Physics 2022-06-22 Fabiano F. Santos

A theory of quantum gravity consists of a gravitational framework which, unlike general relativity, takes into account the quantum character of matter. In spite of impressive advances, no fully satisfactory, self-consistent and empirically…

General Relativity and Quantum Cosmology · Physics 2025-06-23 R. Muciño , E. Okon , D. Sudarsky , M. Wiedemann