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We analyze the properties of circular orbits of test particles on the equatorial plane of a rotating central mass whose gravitational field is described by the Kerr spacetime. For rotating black holes and naked singularities we explore all…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Daniela Pugliese , Hernando Quevedo , Remo Ruffini

We show that collider experiments have the potential to exclude a light scalar field as well as generic models of modified gravity as dark energy candidates. Our mechanism uses the spectrum radiated by black holes and can equally well be…

Astrophysics · Physics 2007-05-23 Michael Doran , Joerg Jaeckel

In this paper, we propose a survey of the basic geometric properties of Carters Kerr-de Sitter solution to Einsteins equation with positive cosmological constant. In particular, we give simple characterisations of the Kerr-de Sitter analogs…

General Relativity and Quantum Cosmology · Physics 2022-06-17 Jack Borthwick

We show that the borderline cases in the proof of the positive energy theorem for initial data sets, on spin manifolds, in dimensions $n\ge 3$, are only possible for initial data arising from embeddings in Minkowski space-time.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Piotr T. Chrusciel , Daniel Maerten

The potentials of spin-weighted wave equations in various Kerr-Newman black holes are analyzed. They all form singular potential barriers at the event horizon. Applying the WKB approximation it is shown that no particle can tunnel out of…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Andreas de Vries , Theodor Schmidt-Kaler

Following a prior paper, we review the results for the energy and angular momentum of a Kerr-Newman black hole, and then calculate the same properties for the case of a generalised rotating dilaton of the type derived, without rotation, by…

General Physics · Physics 2012-11-08 Marcelo Samuel Berman

We show that near-horizon geometries in the presence of a positive cosmological constant cannot exist with ring topology. In particular, de Sitter black rings with vanishing surface gravity do not exist. Our result relies on a known…

High Energy Physics - Theory · Physics 2017-11-22 Marcus Khuri , Eric Woolgar

We investigate the consequences of throwing point particles into odd-dimensional Myers-Perry black holes in asymptotically anti-de Sitter (AdS) backgrounds. We restrict our attention to the case in which the angular momenta of the…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Jorge V. Rocha , Raphael Santarelli

Asymptotically flat spacetimes with one Killing vector field are considered. The Killing equations are solved asymptotically using polyhomogeneous expansions (i.e. series in powers of 1/r an ln r), and solved order by order. The solution to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. A. Valiente-Kroon

A well posed theory of nature is expected to determine the future of an observer uniquely from a given set of appropriate initial data. In the context of general relativity, this is ensured by Penrose's strong cosmic censorship conjecture.…

General Relativity and Quantum Cosmology · Physics 2020-05-08 Mostafizur Rahman

This paper is concerned with deformations of Kundt metrics in the direction of type $III$ tensors and nil-Killing vector fields whose flows give rise to such deformations. We find various characterizations within the Kundt class in terms of…

Differential Geometry · Mathematics 2020-12-30 Matthew Aadne

The possibility that rotating black holes could be natural particle accelerators has been subject of intense debate. While it appears that for extremal Kerr black holes arbitrarily high center of mass energies could be achieved, several…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Stefano Liberati , Christian Pfeifer , José Javier Relancio

We study the scalar tidal responses of spinning higher-dimensional black holes, and their effective field theory description. After constructing the effective field theory of a spinning point particle in general dimension, we apply this…

High Energy Physics - Theory · Physics 2024-12-31 Daniel Glazer , Austin Joyce , Maria J. Rodriguez , Luca Santoni , Adam R. Solomon , Luis Fernando Temoche

We show that both the interior region $r<M-\sqrt{M^2-a^2}$ of a Kerr black hole and the $a^2>M^2$ Kerr naked singularity admit unstable solutions of the Teukolsky equation for any value of the spin weight. For every harmonic number there is…

General Relativity and Quantum Cosmology · Physics 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

In this paper, we review the issue of defining energy for test particles on a background stationary spacetime. We revisit the different notions of energy as defined by different observers. As is well known, the existence of a time-like…

General Relativity and Quantum Cosmology · Physics 2015-09-08 Alejandro Corichi

We present an exhaustive analysis of scalar, electromagnetic and gravitational perturbations in the background of a Schwarzchild-de Sitter spacetime. The field propagation is considered by means of a semi-analytical (WKB) approach and two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Molina , E. Abdalla , A. Saa

Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in the velocities…

Differential Geometry · Mathematics 2026-04-07 Vladimir S. Matveev , Yuri Nikolayevsky

We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black…

High Energy Physics - Theory · Physics 2009-11-11 Kevin Goldstein , Norihiro Iizuka , Rudra P. Jena , Sandip P. Trivedi

It is thought that the spacetime geometry around black hole candidates is described by the Kerr solution, but an observational confirmation is still missing. Today, the continuum-fitting method and the analysis of the iron K$\alpha$ line…

General Relativity and Quantum Cosmology · Physics 2015-08-27 Dan Liu , Zilong Li , Yifan Cheng , Cosimo Bambi

We revise and generalize the properties of the electric and the magnetic scalar potentials in spacetimes admitting a Killing vector field: Their constancy on the Killing horizons, uniqueness of solution for the electromagnetic test fields…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Ivica Smolić