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We adopt the Reall-Santos method to obtain the quadratic curvature corrections to the thermodynamics of Myers-Perry rotating black holes in diverse dimensions. We consider the corrections in canonical and grand canonical ensembles, and also…

High Energy Physics - Theory · Physics 2024-05-16 Peng-Yu Wu , H. Lu

We adopt the improved Reall-Santos method to obtain the leading-order perturbative correction of the quadratic curvature invariants to the on-shell Euclidean action of rotating anti-de Sitter (AdS) black holes in general $D$ dimensions. The…

High Energy Physics - Theory · Physics 2026-02-12 Si-Yue Lu , H. Lu

It is widely believed that the curvature singularities are an artifact of general relativity and may not exist in the Universe, and likely to be defined by the quantum gravity. In the absence of successful quantum gravity, significant…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Fazlay Ahmed , Dharm Veer Singh , Sushant G Ghosh

We consider the thermodynamics and Geometrothermodynamics of the Myers-Perry black holes in five dimensions for three different cases, depending on the values of the angular momenta. We follow Davies approach to study the thermodynamics of…

High Energy Physics - Theory · Physics 2013-10-25 Alessandro Bravetti , Davood Momeni , Ratbay Myrzakulov , Aziza Altaibayeva

It is well-known that the Kerr-metric (rotating black hole in four dimensions) has Petrov type D. We prove a similar property in five dimensions. The Myers-Perry metric (rotating black hole in five dimensions) with one non-zero angular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pieter-Jan De Smet

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall

Employing higher order perturbation theory, we find a new class of charged rotating black hole solutions of Einstein-Maxwell-dilaton theory with general dilaton coupling constant. Starting from the Myers-Perry solutions, we use the electric…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

We obtain a new exact solution of the 5D Einstein equations in vacuum describing a distorted Myers-Perry black hole with a single angular momentum. Locally, the solution is interpreted as a black hole distorted by a stationary $U(1)\times…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Shohreh Abdolrahimi , Jutta Kunz , Petya Nedkova

We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

High Energy Physics - Theory · Physics 2013-05-21 H. Lu , Y. Pang , C. N. Pope

We present a new family of multi-centered rotating black hole solutions in 5D vacuum Einstein gravity, providing explicit examples of cohomogeneity-three spacetimes. It is well known that, in the presence of two commuting Killing vector…

High Energy Physics - Theory · Physics 2026-03-02 Shinya Tomizawa , Jun-ichi Sakamoto , Ryotaku Suzuki

Using the inverse scattering method we construct a six-parameter family of exact, stationary, asymptotically flat solutions of the 4+1 dimensional vacuum Einstein equations, with U(1)^2 rotational symmetry. It describes the superposition of…

High Energy Physics - Theory · Physics 2009-12-07 Carlos A. R. Herdeiro , Carmen Rebelo , Miguel Zilhao , Miguel S. Costa

We construct a new class of perturbative extremal charged rotating black hole solutions in five dimensions in the Einstein--Born-Infeld theory. We start with an extremal five-dimensional Myers-Perry black hole seed in which the two possible…

General Relativity and Quantum Cosmology · Physics 2014-08-18 Masoud Allahverdizadeh , Jose P. S. Lemos , Ahmad Sheykhi

Singly-spinning Myers-Perry black holes in d>5 spacetime dimensions are unstable for sufficiently large angular momentum. We numerically construct (in d=6 and d=7) two new stationary branches of lumpy (rippled) black hole solutions which…

High Energy Physics - Theory · Physics 2015-06-18 Oscar J. C. Dias , Jorge E. Santos , Benson Way

We study the stability of five-dimensional Myers-Perry black holes with equal angular momenta which have an enlarged symmetry, U(2). Using this symmetry, we derive master equations for a part of metric perturbations which are relevant to…

High Energy Physics - Theory · Physics 2008-12-18 Keiju Murata , Jiro Soda

The Newman-Janis and Giampieri algorithms are two simple methods to generate stationary rotating black hole solutions in four dimensions. In this paper, we obtain the Mayers-Perry black hole from the Schwartzchild solution in five…

General Relativity and Quantum Cosmology · Physics 2018-01-11 Zahra Mirzaiyan , Behrouz Mirza , Elham Sharifian

We justify the applicability of the background subtraction method to both Einstein's gravity and its higher derivative corrections in 5-dimensional asymptotically AdS spacetimes, where the corresponding higher derivative corrections to the…

High Energy Physics - Theory · Physics 2026-01-05 Gerui Chen , Xiyao Guo , Xin Lan , Hongbao Zhang , Wei Zhang

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro

We develop the perturbation theory for R^2 string-corrected black hole solutions in d dimensions. After having obtained the master equation and the alpha'-corrected potential under tensorial perturbations of the metric, we study the…

High Energy Physics - Theory · Physics 2009-11-11 Filipe Moura

The thermodynamics of Myers-Perry black holes in general dimensions are studied using a particle probe. When undergoing particle absorption, the changes of the entropy and irreducible mass are shown to be dependent on the particle radial…

General Relativity and Quantum Cosmology · Physics 2017-12-04 Bogeun Gwak , Bum-Hoon Lee

Employing higher order perturbation theory, we find a new class of perturbative extremal rotating black hole solutions with Born-Infeld electric charge in odd D-dimensional spacetime. The seed solution is an odd dimensional extremal…

General Relativity and Quantum Cosmology · Physics 2014-03-21 Masoud Allahverdizadeh , Seyed H. Hendi , José P. S. Lemos , Ahmad Sheykhi
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