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We review the theory of alignment in Lorentzian geometry and apply it to the algebraic classification of the Weyl tensor in higher dimensions. This classification reduces to the the well-known Petrov classification of the Weyl tensor in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Coley

We present the algebraic classification of the gravitational field in four-dimensional general metric-affine geometries, thus extending the current results of the literature in the particular framework of Weyl-Cartan geometry by the…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Sebastian Bahamonde , Jorge Gigante Valcarcel , José M. M. Senovilla

We present balanced black ring solutions of pure Einstein-Maxwell theory in five dimensions. The solutions are asymptotically flat, and their tension and gravitational self-attraction are balanced by the repulsion due to rotation and…

High Energy Physics - Theory · Physics 2015-05-20 Burkhard Kleihaus , Jutta Kunz , Kirsten Schnülle

The existence of black hole horizon is considered as a boundary condition to be imposed on the fluctuating metrics. The coordinate invariant form of the condition for class of spherically symmetric metrics is formulated. The diffeomorphisms…

High Energy Physics - Theory · Physics 2009-10-31 Sergey N. Solodukhin

It is generally believed that tidal deformations of a black hole in an external field, as measured using its gravitational field multipoles, vanish. However, this does not mean that the black hole horizon is not deformed. Here we shall…

General Relativity and Quantum Cosmology · Physics 2024-06-17 A. Ribes Metidieri , B. Bonga , B. Krishnan

Non-extremal black holes are endowed with geometric invariants related to their horizon areas. We extend earlier work on hot attractor black holes to higher dimensions and add a scalar potential. In addition to the event and Cauchy…

High Energy Physics - Theory · Physics 2019-05-01 Kevin Goldstein , Vishnu Jejjala , James Junior Mashiyane , Suresh Nampuri

Gravitational wave observations can test the validity of General Relativity (GR) in the strong field regime. Certain classes of scalar-tensor theories indeed predict that compact objects can exhibit significant deviations from their GR…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Georgios Antoniou , Caio F. B. Macedo , Andrea Maselli , Thomas P. Sotiriou

We consider a spherically symmetric line element which admits either a black hole geometry or a wormhole geometry and show that in both cases the apparent horizon or the wormhole throat is partially characterized by the zero-set of a single…

General Relativity and Quantum Cosmology · Physics 2021-06-23 D. D. McNutt , W. Julius , M. Gorban , B. Mattingly , P. Brown , G. Cleaver

The Horizon Quantum Mechanics is an approach that allows one to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. We first review the (global) formalism…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

We develop an analytic eikonal description of perturbations for four-dimensional regular black holes in quasi-topological gravity. Using first-order Schutz--Will WKB together with a small-coupling expansion and a large-$\ell$ expansion, we…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Alexey Dubinsky

Black and white holes play remarkably contrasting roles in general relativity versus observational astrophysics. While there is overwhelming observational evidence for the existence of compact objects that are "cold, dark, and heavy", which…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Rudeep Gaur , Matt Visser

We investigate the spherical photon orbits in near-extremal Kerr spacetimes. We show that the spherical photon orbits with impact parameters in a finite range converge on the event horizon. Furthermore, we demonstrate that the Weyl…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Takahisa Igata , Hideki Ishihara , Yu Yasunishi

The ringdown and shadow of the astrophysically significant Kerr Black Hole (BH) are both intimately connected to a special set of bound null orbits known as Light Rings (LRs). Does it hold that a generic equilibrium BH must possess such…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Pedro V. P. Cunha , Carlos A. R. Herdeiro

We examine the black hole bomb model which consists of a rotating black hole of five-dimenensional minimal ungauged supergravity and a reflecting mirror around it. For low-frequency scalar perturbations, we find solutions to the…

High Energy Physics - Theory · Physics 2015-06-22 Alikram N. Aliev

We wish to construct a minimal set of algebraically independent scalar curvature invariants formed by the contraction of the Riemann (Ricci) tensor and its covariant derivatives up to some order of differentiation in three dimensional (3D)…

General Relativity and Quantum Cosmology · Physics 2016-02-12 N. K. Musoke , D. D. McNutt , A. A. Coley , D. A. Brooks

We calculate the quantum radiation from the five dimensional charged rotating black rings by demanding the radiation to eliminate the possible anomalies on the horizons. It is shown that the temperature, energy flux and angular-momentum…

High Energy Physics - Theory · Physics 2008-11-26 Umpei Miyamoto , Keiju Murata

I discuss the no hair principle, the recently found hairy solutions, generic properties of nonvacuum spherical static black holes, and the new no scalar hair theorems. I go into the generic phenomenon of superradiance, first uniform linear…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

Half-supersymmetric geometries of N=2 five-dimensional gauged supergravity have recently been fully classified using spinorial geometry techniques. We use this classification to determine all possible regular half-supersymmetric…

High Energy Physics - Theory · Physics 2011-02-07 J. B. Gutowski , W. A. Sabra

We consider the classical equations of the Einstein-Yang-Mills model in five space-time dimensions and in the presence of a cosmological constant. We assume that the fields do not depend on the extra dimension and that they are spherically…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate

The motion of a particle near the RN black hole horizon is described by conformal mechanics. Models of this type have no ground state with vanishing energy. This problem was resolved in past by a redefinition of the Hamiltonian which breaks…

High Energy Physics - Theory · Physics 2007-05-23 Renata Kallosh