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In previous work [1] we proposed an improvement of the WKB-based semianalytic technique of Iyer and Will for calculation of the quasiormal modes of black holes by constructing the Pad\'e approximants of the formal series for $\omega^{2}.$…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jerzy Matyjasek , Malgorzata Telecka

A certain identification of points in a planar Schwarzschild-anti de Sitter (AdS) black hole generates a four-dimensional static black string. In turn, a rotating black string can be obtained from a static one by means of an `illegitimate…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Luis A. H. Mamani , Jaqueline Morgan , Alex S. Miranda , Vilson T. Zanchin

We explore the relationship between classical quasinormal mode frequencies and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of Hod, we identify the real part of the quasinormal frequencies with the fundamental…

High Energy Physics - Theory · Physics 2009-11-10 Danny Birmingham , Steven Carlip , Yujun Chen

We review the construction of ("free") elementary systems in de Sitter (dS) spacetime, in the Wigner sense, as associated with unitary irreducible representations (UIR's) of the dS (relativity) group. This study emphasizes the conceptual…

Mathematical Physics · Physics 2024-05-01 Mohammad Enayati , Jean-Pierre Gazeau , Hamed Pejhan , Anzhong Wang

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

We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--de~Sitter (dS) spacetimes. The method converts the outgoing-wave boundary-value problem into a non-Hermitian spectral problem and enables…

High Energy Physics - Theory · Physics 2026-05-15 Shoya Ogawa , Okuto Morikawa , Takuya Hirose

We compute the spectrum of linearized gravitational excitations of black holes with substantial angular momentum in the presence of higher-derivative corrections to general relativity. We do so perturbatively to leading order in the…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pablo A. Cano , Kwinten Fransen , Thomas Hertog , Simon Maenaut

In this paper, the quasinormal modes of gravitational perturbation around some well-known regular black holes were evaluated by using the WKB approximation as well as the asymptotic iteration method. Through numerical calculation, we make a…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Chen Wu

Using the Schwinger-Keldysh-formalism, reformulated in arXiv:2108.01695 as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in…

High Energy Physics - Theory · Physics 2022-09-07 T. Heckelbacher , I. Sachs , E. Skvortsov , P. Vanhove

This paper investigates the perturbation dynamics of massless scalar and electromagnetic fields on magnetically charged de Sitter (dS) black holes within the framework of string-inspired Euler-Heisenberg (EH) gravity. We calculate the…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Ming Zhang , Guo-Xin Chen , Lei Zhang , Sheng-Yuan Li , Xufen Zhang , De-Cheng Zou

We have studied the perturbation of a spinning dilaton black hole in 2 +1 dimensions by a massless scalar field. The wave equations of a massless scalar field is shown to be exactly solvable in terms of hypergeometric functions. The…

High Energy Physics - Theory · Physics 2009-08-03 Sharmanthie Fernando

We study quantum gravity on $dS_{3}$ using the Chern-Simons formulation of three -dimensional gravity. We derive an exact expression for the partition function for quantum gravity on $dS_{3}$ in a Euclidean path integral approach. We show…

High Energy Physics - Theory · Physics 2009-11-07 T. R. Govindarajan , R. K. Kaul , V. Suneeta

In this paper we study the Dirac quasinormal modes of an uncharged 2 + 1 black hole proposed by Mandal et. al and referred to as MSW black hole in this work. The quasi- normal mode is studied using WKB approximation method. The study shows…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Saneesh Sebastian , V. C. Kuriakose

The holographic duality (also known as AdS/CFT correspondence or gauge/gravity duality) postulates that strongly coupled quantum field theories can be described in a dual way in asymptotically Anti-de Sitter space. One of the cornerstones…

High Energy Physics - Theory · Physics 2024-11-22 Daniel Arean , David Garcia-Fariña , Karl Landsteiner

The Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de Sitter space-time in static coordinates. Instead of spinor…

Quantum Physics · Physics 2011-09-15 V. M. Red'kov , E. M. Ovsiyuk , O. V. Veko

We report on numerical constructions of fully non-linear geons in asymptotically anti-de Sitter (AdS) spacetimes in four dimensions. Our approach is based on 3+1 formalism and spectral methods in a gauge combining maximal slicing and…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Grégoire Martinon , Gyula Fodor , Philippe Grandclément , Peter Forgàcs

We study an inverse resonance problem for the scalar wave equation on the Kerr-de Sitter family. In a compact subextremal slow-rotation regime and at a fixed overtone index, high-frequency quasinormal modes admit semiclassical quantization…

Mathematical Physics · Physics 2026-02-18 Ruiliang Li

A covariant quantization of the free spinor fields (s=1/2) in 4-dimensional de Sitter (dS) space-time based on analyticity in the complexified pseudo-Riemanian manifold is presented. We define the Wigthman two-point function ${\cal…

General Relativity and Quantum Cosmology · Physics 2016-08-31 M. V. Takook

Three possible techniques to deal with a vector particle in the anti de Sitter cosmological model are viewed: Duffin-Kemmer-Petiau matrix formalism based on the general tetrad recipe, group theory 5-dimensional approach based on the…

Mathematical Physics · Physics 2011-09-05 E. M. Ovsiyuk , V. M. Red'kov

We apply the generalized Wigner function formalism to detect and characterize a range of quantum phase transitions in several cyclic, finite-length, spin-$\frac{1}{2}$ one-dimensional spin-chain models, viz., the Ising and anisotropic $XY$…

Quantum Physics · Physics 2023-10-03 N. M. Millen , R. P. Rundle , J. H. Samson , Todd Tilma , R. F. Bishop , M. J. Everitt
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