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A Killing tensor field on a Riemannian space corresponds to an integral of the geodesic flow polynomial in momenta. A Killing tensor field is called decomposable if it is a polynomial in Killing vector fields. In this paper, we first prove…

Differential Geometry · Mathematics 2026-05-01 Vladimir Matveev , Yuri Nikolayevsky

The Kerr spacetime of spinning black holes is one of the most intriguing predictions of Einstein's theory of general relativity. The special role this spacetime plays in the theory of gravity is encapsulated in the no-hair theorem, which…

High Energy Astrophysical Phenomena · Physics 2009-12-02 Dimitrios Psaltis , Tim Johannsen

We prove a uniqueness theorem for the charged Nariai black holes and ultracold black holes in four dimensions. In particular, we show that an analytic solution to four-dimensional Einstein-Maxwell theory with a positive cosmological…

General Relativity and Quantum Cosmology · Physics 2024-09-30 David Katona

This letter deals with an analysis of the space-time static metric that corresponds to a quintessential state equation with constant characteristic parameter. Following a procedure parallel to as it is used in the case of de Sitter space,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro F. Gonzalez-Diaz

All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Stefan Hollands , Akihiro Ishibashi

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Tod

We study the evolution of charged, asymptotically de Sitter black holes close to the cold extremal branch of the phase space. We consider black hole sizes that are parametrically smaller than both their inverse temperature and the…

High Energy Physics - Theory · Physics 2025-10-22 Arindam Bhattacharjee , Muktajyoti Saha

The thermodynamics of de Sitter black holes is complicated by the presence of two horizons and the absence of a globally defined timelike Killing vector. The standard choice of the Gibbons-Hawking Killing vector is at odds with the…

High Energy Physics - Theory · Physics 2026-04-20 Lars Aalsma , Puxin Lin , Jan Pieter van der Schaar , Gary Shiu , Watse Sybesma

We study in detail the modes of a classical scalar field on a Kerr-Newman-anti-de Sitter (KN-AdS) black hole. We construct sets of basis modes appropriate to the two possible boundary conditions (``reflective'' and ``transparent'') at…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Elizabeth Winstanley

We attempt to destroy the event horizons of Kerr black holes by perturbing them with massless spin (3/2) fields. We carry out a detailed analysis by incorporating the explicit form of the absorption probabilities and backreaction effects…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Koray Düztaş

Black holes possess trapping regions which lead to intriguing dynamical effects. By properly scattering test fields off a black hole, one can extract energy from it, leading to the growth of the amplitude of the test field in expense of the…

General Relativity and Quantum Cosmology · Physics 2019-08-30 Kyriakos Destounis

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

It is shown for a spherically symmetric black hole of general type that it is impossible to observe the infinite future of the Universe external to the hole during the finite proper time interval of the free fall. Quantitative evaluations…

General Relativity and Quantum Cosmology · Physics 2013-01-08 Yu. V. Pavlov

We study the effects of asymptotically anti-de Sitter wormholes in low-energy field theory and give a general prescription for obtaining the local effective interaction terms induced by them. The choice of vacuum for the matter fields…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Carlos Barcelo , Luis J. Garay

In this paper, we show that a rigidly rotating string can extract the rotational energy from a rotating black hole. We consider Nambu-Goto strings stationary with respect to a corotating Killing vector with an uniform angular velocity…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Shunichiro Kinoshita , Takahisa Igata , Kentaro Tanabe

We present a non-perturbative proof of the no hair theorems corresponding to scalar and Proca fields for stationary axisymmetric de Sitter black hole spacetimes. Our method also applies to asymptotically flat and under a reasonable…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Sourav Bhattacharya , Amitabha Lahiri

Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstrom black hole: for generic initial data, a transverse derivative of the scalar field at the horizon does not…

General Relativity and Quantum Cosmology · Physics 2012-11-16 James Lucietti , Harvey S. Reall

Ongoing observations in the strong-field regime are in optimal agreement with general relativity, although current errors still leave room for small deviations from Einstein's theory. Here we summarise our recent results on superradiance of…

General Relativity and Quantum Cosmology · Physics 2021-05-20 Mauro Oi , Edgardo Franzin , Stefano Liberati

We give general arguments that any interacting non--conformal {\it classical} field theory in de Sitter space leads to the possibility of constructing a perpetuum mobile. The arguments are based on the observation that massive free falling…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emil T. Akhmedov , P. V. Buividovich , Douglas A. Singleton

Linear perturbations of extremal black holes exhibit the Aretakis instability, in which higher derivatives of a scalar field grow polynomially with time along the event horizon. This suggests that higher derivative corrections to the…

High Energy Physics - Theory · Physics 2018-01-17 Shahar Hadar , Harvey S. Reall
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