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Related papers: Separability, plane wave limits and black holes

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We provide bounds on the first Betti number and structure results for the fundamental group of horizon cross-sections for extreme stationary vacuum black holes in arbitrary dimension, without additional symmetry hypotheses. This is achieved…

High Energy Physics - Theory · Physics 2021-01-26 Marcus Khuri , Eric Woolgar , William Wylie

In this work we have presented a special class of Kerr-Newman-NUT black hole, having its horizon located precisely at $r=2M$, for $Q^{2}=l^{2}-a^{2}$, where $M$, $l$, $a$ and $Q$ are respectively mass, NUT, rotation and electric charge…

General Relativity and Quantum Cosmology · Physics 2019-03-05 Sajal Mukherjee , Sumanta Chakraborty , Naresh Dadhich

Inspired by the recent work on the spacetime structure near generic black hole horizons [1], the near horizon charges for an explicit example in higher dimensions than four (d > 4), namely for the five dimensional Myers-Perry metric with…

High Energy Physics - Theory · Physics 2021-03-18 Zahra Mirzaiyan

We show that the maximally supersymmetric pp-waves of IIB superstring and M-theories can be obtained as a Penrose limit of the supersymmetric AdS x S solutions. In addition we find that in a certain large tension limit, the geometry seen by…

High Energy Physics - Theory · Physics 2010-04-06 Matthias Blau , Jose Figueroa-O'Farrill , Christopher Hull , George Papadopoulos

We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Geoffrey Compère , Adrien Druart

We propose a formulation of the Penrose plane wave limit in terms of null Fermi coordinates. This provides a physically intuitive (Fermi coordinates are direct measures of geodesic distance in space-time) and manifestly covariant…

High Energy Physics - Theory · Physics 2009-11-11 Matthias Blau , Denis Frank , Sebastian Weiss

In this paper we analyze the perturbations of the Kerr-Newman dilatonic black hole background. For this purpose we perform a double expansion in both the background electric charge and the wave parameters of the relevant quantities in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Casadio , B. Harms , Y. Leblanc , P. H. Cox

The study of higher-dimensional black holes is a subject which has recently attracted a vast interest. Perhaps one of the most surprising discoveries is a realization that the properties of higher-dimensional black holes with the spherical…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Valeri P. Frolov , Pavel Krtous , David Kubiznak

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

This manuscript is a lightly reformatted version of my 2017 PhD thesis. I am posting it on arXiv at the request of my advisor, Sergiu Klainerman, who noted that it has been useful to some students. The content largely reflects the thesis in…

Analysis of PDEs · Mathematics 2026-03-17 John Stogin

The properties of principal null directions of a perturbed black hole are investigated. It shown that principal null directions are directly observable quantities characterizing the space-time. A definition of a perturbed space-time,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Z. Perjés , M. Vasúth

The fact that one must evaluate the near-extremal and near-horizon limits of Kerr space-time in a specific order, is shown to a lead to discontinuity in the extremal limit, such that this limiting space-time differs nontrivially from the…

General Relativity and Quantum Cosmology · Physics 2015-08-21 Parthapratim Pradhan , Parthasarathi Majumdar

Astrophysical black hole candidates are thought to be the Kerr black hole predicted by General Relativity. In order to confirm the Kerr-nature of these objects, we need to probe the geometry of the space-time around them and see if the…

General Relativity and Quantum Cosmology · Physics 2012-09-12 Cosimo Bambi

In the literature, the Newman-Janis algorithm (NJA) has been widely used to construct stationary and axisymmetric spacetimes to describe rotating black holes. In addition, it has been recently shown that the general stationary and…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Che-Yu Chen , Pisin Chen

We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole…

High Energy Physics - Theory · Physics 2010-04-06 Kei-ichi Maeda , Masato Nozawa

Black holes in General Relativity are famously characterized by two "hairs" only, the mass and the spin of the Kerr spacetime. Theories extending General Relativity, however, allow in principle for additional black hole charges, which will…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Kallol Dey , Enrico Barausse , Soumen Basak

Many black hole spacetimes with a 3-form field exhibit a hidden symmetry encoded in a torsion generalization of the principal Killing--Yano tensor. This tensor determines basic properties of such black holes while also underlying the…

High Energy Physics - Theory · Physics 2019-07-10 Ramiro Cayuso , Finnian Gray , David Kubiznak , Aoibheann Margalit , Renato Gomes Souza , Leander Thiele

We describe the Kerr black hole in the ingoing and outgoing Kerr-Schild horizon penetrating coordinates. Starting from the null vector naturally defined in these coordinates, we construct the null tetrad for each case, as well as the…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Claudia Moreno , Dario Nunez

A simple method to deal with four dimensional Hamilton-Jacobi equation for null hypersurfaces is introduced. This method allows to find simple geometrical conditions which give rise to the failure of the WKB approximation on curved…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fabrizio Canfora

The Regge-Wheeler equation for black-hole gravitational waves is analyzed for large negative imaginary frequencies, leading to a calculation of the cut strength for waves outgoing to infinity. In the--limited--region of overlap, the results…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alec Maassen van den Brink