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Related papers: Pole Structure of Kerr Green's Function

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Motivated by the desire to understand the causal structure of physical signals produced in curved spacetimes -- particularly around black holes -- we show how, for certain classes of geometries, one might obtain its retarded or advanced…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yi-Zen Chu

We examine thermal Green's functions of fermionic operators in quantum field theories with gravity duals. The calculations are performed on the gravity side using ingoing Eddington-Finkelstein coordinates. We find that at negative imaginary…

High Energy Physics - Theory · Physics 2020-08-26 Nejc Ceplak , Kushala Ramdial , David Vegh

Central to black hole perturbation theory calculations is the Teukolsky equation that governs the propagation and the generation of radiation emitted by Kerr black holes. However, it is plagued by a long-ranged potential associated with the…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Rico K. L. Lo

Within General Relativity, the unique stationary solution of an isolated black hole is the Kerr spacetime, which has a peculiar multipolar structure depending only on its mass and spin. We develop a general method to extract the multipole…

High Energy Physics - Theory · Physics 2020-12-30 Massimo Bianchi , Dario Consoli , Alfredo Grillo , Josè Francisco Morales , Paolo Pani , Guilherme Raposo

We study the early-time component of the Green's function of a Schwarzschild black hole, traveling on the curved light cone and usually denoted as the prompt response. Working in a post-Minkowskian approximation, we show for the first time…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Marina De Amicis , Enrico Cannizzaro

We discuss the late-time behaviour of a dynamically perturbed Kerr black hole. We present analytic results for near extreme Kerr black holes that show that the large number of virtually undamped quasinormal modes that exist for nonzero…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Nils Andersson , Kostas Glampedakis

We revisit the problem of the emission of gravitational waves from a test mass orbiting and thus perturbing a Kerr black hole. The source term of the Teukolsky perturbation equation contains a Dirac delta function which represents a point…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pranesh A. Sundararajan , Gaurav Khanna , Scott A. Hughes

We perform the stability analysis of the Kerr black hole in the Einstein-Chern-Simons-Scalar theory with quadratic scalar coupling. For positive coupling parameter ($\alpha>0$), we introduce the (2+1)-dimensional hyperboloidal foliation…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Yun Soo Myung , De-Cheng Zou

We review the method of constructing dipole and string loop solutions from the higher-dimensional (Euclidean) Kerr black hole. We analyse the results in various dimensions, finding solutions earlier given in the literature. Then we…

High Energy Physics - Theory · Physics 2007-05-23 Bert Janssen , Sudipta Mukherji

The tachyonic instability of the Kerr black holes is analyzed in the Einstein-scalar theory with the quadratic scalar couplings to two topological terms which are parity-even Gauss-Bonnet and parity-odd Chern-Simons terms. For positive…

General Relativity and Quantum Cosmology · Physics 2021-07-28 De-Cheng Zou , Yun Soo Myung

We uncover hidden spectral symmetries of the Teukolsky equation in Kerr(-de Sitter) black holes, recently conjectured by Aminov, Grassi and Hatsuda (arXiv: 2006.06111 and arXiv: 2007.07906, 2020) in the zero cosmological constant case.…

General Relativity and Quantum Cosmology · Physics 2023-05-01 Marc Casals , Rita Teixeira da Costa

Representing spectral densities, real-frequency, and real-time Green's functions of continuous systems by a small discrete set of complex poles is an ubiquitous problem in condensed matter physics, with applications ranging from quantum…

Strongly Correlated Electrons · Physics 2025-06-04 Lei Zhang , André Erpenbeck , Yang Yu , Emanuel Gull

We study theoretical aspects of the rotating black hole production and evaporation in the extra dimension scenarios with TeV scale gravity, within the mass range in which the higher dimensional Kerr solution provides good description. We…

High Energy Physics - Theory · Physics 2014-11-18 Daisuke Ida , Kin-ya Oda , Seong Chan Park

Employing the Newman-Penrose formalism and following the classic Teukolsky-like approach, we linearise the field equations of quadratic gravity on the Kerr background and combine them with the linearised Ricci and Bianch identities. This…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Simon Knoska , David Kofron , Robert Svarc

New coordinates are given which describe non-degenerate Kerr black holes in dual-null foliations based on the outer (or inner) horizons, generalizing the Kruskal form for Schwarzschild black holes. The construction involves an area radius…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sean A. Hayward

This work is an extensive literature review focusing on a few of the important topics in the large-scale structure of spacetime. The work is a Bachelor's thesis submitted at the Institute of Theoretical Physics, University of Leipzig. The…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Rohan Kulkarni

We develop a systematic effective field theory calculation of the quasinormal modes of Kerr black holes valid for arbitrary spin, providing model-independent corrections to their ringdown spectrum directly relevant for gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William L. Boyce , Jorge E. Santos

In the Randall-Sundrum two-brane model (RS1), a Kerr black hole on the brane can be naturally identified with a section of rotating black string. To estimate Kaluza-Klein (KK) corrections on gravitational waves emitted by perturbed rotating…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sugumi Kanno , Jiro Soda

We prove boundedness and polynomial decay statements for solutions of the Teukolsky system for electromagnetic-gravitational perturbations of a Kerr-Newman exterior background, with parameters satisfying $|a|, |Q| \ll M$. The identification…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Elena Giorgi

We revisit the Blandford & Znajek (1977) process and solve the fundamental equation that governs the structure of the steady-state force-free magnetosphere around a Kerr black hole. The solution depends on the distributions of the magnetic…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Ioannis Contopoulos , Demosthenes Kazanas , Demetrios B. Papadopoulos