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In this paper we study properties that the vacuum must possess in the minimal extension to the teleparallel equivalent of general relativity (TEGR) where the action is supplemented with a quadratic torsion term. No assumption is made about…

General Relativity and Quantum Cosmology · Physics 2022-04-15 Andrew DeBenedictis , Saša Ilijić , Marko Sossich

Near an event horizon, the action of general relativity acquires a new asymptotic conformal symmetry. Using two-dimensional dilaton gravity as a test case, I show that this symmetry results in a chiral Virasoro algebra with a calculable…

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

Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal, we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton…

High Energy Physics - Theory · Physics 2015-06-22 S. Sadeghian , M. M. Sheikh-Jabbari , H. Yavartanoo

A central feature of the most elementary rotating black hole (BH) solution in General Relativity is the Kerr bound, which, for vacuum Kerr BHs, can be expressed either in terms of the ADM or the horizon "charges". This bound, however, is…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Kirill A. Bronnikov , José P. S. Lemos

We study null geodesics that connect the two asymptotically flat regions of the maximally extended Kerr spacetime. These vortical geodesics traverse both horizons and pass through the ring singularity, linking the positive-$r$ exterior to…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Maciej Maliborski , Tobias C. Sutter

In this paper we consider a family of three-dimensional problems in thermoelasticity for linear elliptic membrane shells and study the asymptotic behaviour of the solution when the thickness tends to zero.We fully characterize with strong…

Analysis of PDEs · Mathematics 2020-12-22 M. T. Cao-Rial , G. Castiñeira , Á. Rodríguez-Arós , S. Roscani

We find a new exact solution to Einstein field equations that represents a cosmological wormhole embedded in a flat Friedmann-Lema\^itre-Robertson-Walker universe. The new metric is a generalization of a previous cosmological wormhole…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Daniela Pérez , Mário Raia Neto

We give a detailed review of construction of conserved quantities in extended theories of gravity for asymptotically maximally symmetric spacetimes and carry out explicit computations for various solutions. Our construction is based on the…

High Energy Physics - Theory · Physics 2019-11-28 Hamed Adami , Mohammad Reza Setare , Tahsin Cagri Sisman , Bayram Tekin

We show that scalar, electromagnetic, and gravitational perturbations of extremal Kerr black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetry of the background metric. This accounts for the Aretakis…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Samuel E. Gralla , Peter Zimmerman

We investigate the existence of black hole solutions of four dimensional $\mathfrak{su}(N)$ EYM theory with a negative cosmological constant. Our analysis differs from previous works in that we generalise the field equations to certain…

General Relativity and Quantum Cosmology · Physics 2015-07-10 J. Erik Baxter

We propose a set of diffeomorphism that act non-trivially near the horizon of the Kerr black hole. We follow the recent developments of Haco-Hawking-Perry-Strominger to quantify this phase space, with the most substantial difference being…

High Energy Physics - Theory · Physics 2020-01-13 Ankit Aggarwal , Alejandra Castro , Stéphane Detournay

Dirac equation is solved in the near horizon limit geometry of an extreme Kerr black hole. We decouple equations first as usual, into an axial and angular part. The axial equation turns out to be independent of the mass and is solved…

General Relativity and Quantum Cosmology · Physics 2009-11-10 I. Sakalli , M. Halilsoy

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer

We present the Lagrangian whose corresponding action is the trace K action for General Relativity. Although this Lagrangian is second order in the derivatives, it has no second order time derivatives and its behaviour at space infinity in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. M. Pons

We derive universal properties of the near-horizon geometry of spherically symmetric black holes that follow from the observability of a regular apparent horizon. Only two types of solutions are admissible. After reviewing their properties…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Sebastian Murk , Daniel R. Terno

We find a class of charged black hole solutions in third order Lovelock Gravity. To obtain this class of solutions, we are not confined to the usual assumption of maximal symmetry on the horizon and will consider the solution whose boundary…

General Relativity and Quantum Cosmology · Physics 2018-04-12 N. Farhangkhah

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

Many papers on modified gravity theories (MGTs), and metric-affine geometry have been published. New classes of black hole (BH), wormhole (WH), and cosmological solutions involving nonmetricity and torsion fields were constructed.…

General Physics · Physics 2025-06-13 Sergiu I. Vacaru

In this work we analyze traversable wormhole solutions in the linear form of $f\left(R,T\right)=R+\lambda T$ gravity satisfying the Null, Weak, Strong, and Dominant Energy Conditions (NEC, WEC, SEC, and DEC respectively) for the entire…

General Relativity and Quantum Cosmology · Physics 2022-12-23 João Luís Rosa , Paul Martin Kull