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The traditional approach to perturbations of nonrotating black holes in General Relativity uses the reformulation of the equations of motion into a radial second-order Schr\"odinger-like equation, whose asymptotic solutions are elementary.…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

We derive a transformation from the usual ADM metric-extrinsic curvature variables on the phase space of Schwarzschild black holes, to new canonical variables which have the interpretation of Kruskal coordinates. We explicitly show that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Madhavan Varadarajan

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black hole, which is deformed due to noncommutative corrections. We introduce the deformed Schwarzschild black hole solution, which depends on the…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Y. Zhao , Yifu Cai , S. Das , G. Lambiase , E. N. Saridakis , E. C. Vagenas

In the context of a gravity's rainbow, the asymptotic quasinormal modes of the scalar perturbation in the quantum modified Schwarzschild black holes are investigated. By using the monodromy method, we calculated and obtained the asymptotic…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Cheng-Zhou Liu , Jian-Yang Zhu

We review recent calculations of quasinormal modes and asymptotic tails of the Bardeen spacetime interpreted as a quantum corrected Schwarzschild-like black holes. Massless electromagnetic and Dirac fields and massive scalar field are…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Dmitriy Ovchinnikov

We obtain an analytic expression for the highly damped asymptotic quasinormal mode frequencies of the $d\geq 5$-dimensional Schwarzschild black hole modified by the Gauss-Bonnet term, which appears in string derived models of gravity. The…

High Energy Physics - Theory · Physics 2007-05-23 Sayan K. Chakrabarti , Kumar S. Gupta

We generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity. The latter is then broken by…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Simon Boudet , Flavio Bombacigno , Gonzalo J. Olmo , Paulo J. Porfirio

Various equivalences between so-called soft theorems which constrain scattering amplitudes and Ward identities related to asymptotic symmetries have recently been established in gauge theories and gravity. So far these equivalences have…

High Energy Physics - Theory · Physics 2015-05-21 Miguel Campiglia , Alok Laddha

We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of infinite damping. For Schwarzschild in d>=4 we find that the asymptotic real part is…

High Energy Physics - Theory · Physics 2007-05-23 Lubos Motl , Andrew Neitzke

It is argued that the diffeomorphism on the horizontal sphere can be regarded as a nontrivial asymptotic isometry of the Schwarzschild black hole. We propose a new boundary condition of asymptotic metrics near the horizon and show that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Hotta , K. Sasaki , T. Sasaki

The curvature coordinates $T,R$ of a Schwarz\-schild spacetime are turned into canonical coordinates $T(r), {\sf R}(r)$ on the phase space of spherically symmetric black holes. The entire dynamical content of the Hamiltonian theory is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Karel V. Kuchař

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

For any non-rotating effective quantum (uncharged) black hole model to be viable, its asymptotic structure of spacetime should reduce to that of a Schwarzschild black hole. After examining the asymptotic structure of quantum black holes…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Mariam Bouhmadi-López , Suddhasattwa Brahma , Che-Yu Chen , Pisin Chen , Dong-han Yeom

The recently proposed theory of "Asymptotically Free Mimetic Gravity" is extended to the general non-homogeneous, spatially non-flat case. We present a modified theory of gravity which is free of higher derivatives of the metric. In this…

High Energy Physics - Theory · Physics 2020-08-05 Ali H. Chamseddine , Viatcheslav Mukhanov , Tobias B. Russ

The exact computation of asymptotic quasinormal frequencies is a technical problem which involves the analytic continuation of a Schrodinger-like equation to the complex plane and then performing a method of monodromy matching at the…

High Energy Physics - Theory · Physics 2015-06-26 Vitor Cardoso , Jose Natario , Ricardo Schiappa

In this chapter we review the state-of-the-art of black holes in asymptotically safe gravity. After a brief recap of the asymptotic safety program, we shall summarize the features of asymptotic-safety-inspired black-hole models that have…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Alessia Platania

We perform a canonical analysis of the system of 2d vacuum dilatonic black holes. Our basic variables are closely tied to the spacetime geometry and we do not make the field redefinitions which have been made by other authors. We present a…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Madhavan Varadarajan

In this paper, new electrically charged asymptotically flat black hole solutions are numerically derived in the context of higher derivative gravity. These solutions can be interpreted as generalizations of two different classes of…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Kai Lin , A. B. Pavan , G. Flores-Hidalgo , E. Abdalla

We present a covariant model of a spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized by a positive constant $\lambda$, are implemented through a canonical…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We reformulate the Chern-Simons modified gravity in the metric-affine formalism, by enlarging the Pontryagin density with homothetic curvature terms which restore projective invariance without spoiling topologicity. The latter is then…

General Relativity and Quantum Cosmology · Physics 2022-03-18 Flavio Bombacigno
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