Black Holes in Higher Dimensional Gravity Theory with Quadratic in Curvature Corrections (2009)
Frolov, Valeri P., Shapiro, Ilya L.
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...
Interior of a Charged Distorted Black Hole (2009)
Abdolrahimi, Shohreh, Frolov, Valeri P., Shoom, Andrey A.
We study interior of a charged, non-rotating distorted black hole. We consider static and axisymmetric black holes, and focus on a special case when an electrically charged distorted solution is...
Gregory-Laflamme instability of 5D electrically charged black strings (2009)
Frolov, Valeri P., Shoom, Andrey A.
We study the Gregory-Laflamme instability of 5D compactified, electrically charged black strings. We consider static, linear perturbations of these solutions and derive master equation for these...
Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes (2008)
Kubiznak, David, Frolov, Valeri P., Krtous, Pavel, Connell, Patrick
In [arXiv:0803.3259] the equations describing the parallel transport of orthonormal frames along timelike (spacelike) geodesics in a spacetime admitting a non-degenerate principal conformal...
A Toy Model for Topology Change Transitions: Role of Curvature Corrections (2008)
Frolov, Valeri P., Gorbonos, Dan
We consider properties of near-critical solutions describing a test static axisymmetric D-dimensional brane interacting with a bulk N-dimensional black hole (N>D). We focus our attention on the...
Krtous, Pavel, Frolov, Valeri P., Kubiznak, David
We prove that the most general solution of the Einstein equations with the cosmological constant which admits a principal conformal Killing-Yano tensor is the Kerr-NUT-(A)dS metric. Even when the...
Ray-tracing in four and higher dimensional black holes: An analytical approximation (2008)
Connell, Patrick, Frolov, Valeri P.
We study null rays propagation in a spacetime of static Schwarzschild--Tangherlini black holes in arbitrary number of dimensions. We focus on the bending angle and the retarded time delay for rays...
Solving parallel transport equations in the higher-dimensional Kerr-NUT-(A)dS spacetimes (2008)
Connell, Patrick, Frolov, Valeri P., Kubiznak, David
We obtain and study the equations describing the parallel transport of orthonormal frames along geodesics in a spacetime admitting a non-degenerate principal conformal Killing-Yano tensor h. We...
Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables (2008)
Frolov, Valeri P., Kubiznak, David
In this paper, we discuss hidden symmetries in rotating black hole spacetimes. We start with an extended introduction which mainly summarizes results on hidden symmetries in four dimensions and...
Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes (2007)
The paper contains a brief review of recent results on hidden symmetries in higher dimensional black hole spacetimes. We show how the existence of a principal CKY tensor (that is a closed...
Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes (2007)
Kubiznak, David, Frolov, Valeri P.
We demonstrate complete integrability of the Nambu-Goto equations for a stationary string in the general Kerr-NUT-(A)dS spacetime describing the higher-dimensional rotating black hole. The stationary...
Interior of Distorted Black Holes (2007)
Frolov, Valeri P., Shoom, Andrey A.
We study the interior of distorted static axisymmetric black holes. We obtain a general interior solution and study its asymptotics both near the horizon and singularity. As a special example, we...
Apparent horizon formation in the head-on collision of gyratons (2007)
Yoshino, Hirotaka, Zelnikov, Andrei, Frolov, Valeri P.
The gyraton model describes a gravitational field of an object moving with the velocity of light which has finite energy and spin distributed during some finite time interval $L$. A gyraton may be...
Surface Geometry of 5D Black Holes and Black Rings (2006)
Frolov, Valeri P., Goswami, Rituparno
We discuss geometrical properties of the horizon surface of five-dimensional rotating black holes and black rings. Geometrical invariants characterizing these 3D geometries are calculated. We obtain...
Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions (2006)
Krtous, Pavel, Kubiznak, David, Page, Don N., Frolov, Valeri P.
From the metric and one Killing-Yano tensor of rank D-2 in any D-dimensional spacetime with such a principal Killing-Yano tensor, we show how to generate k=[(D+1)/2] Killing-Yano tensors, of rank...
Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes (2006)
Frolov, Valeri P., Krtous, Pavel, Kubiznak, David
We demonstrate the separability of the Hamilton-Jacobi and scalar field equations in general higher dimensional Kerr-NUT-AdS spacetimes. No restriction on the parameters characterizing these metrics...
Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes (2006)
Kubiznak, David, Frolov, Valeri P.
It is well known that 4-dimensional Kerr-NUT-AdS spacetime possesses the hidden symmetry associated with the Killing-Yano tensor. This tensor is "universal" in the sense that there exist coordinates...
`Hidden' Symmetries of Higher Dimensional Rotating Black Holes (2006)
Frolov, Valeri P., Kubiznak, David
We demonstrate that the rotating black holes in an arbitrary number of dimensions and without any restrictions on their rotation parameters possess the same `hidden' symmetry as the 4-dimensional...
Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity (2006)
We propose a toy model for study merger transitions in a curved spaceime with an arbitrary number of dimensions. This model includes a bulk N-dimensional static spherically symmetric black hole and a...
String Gyratons in Supergravity (2006)
Frolov, Valeri P., Lin, Feng-Li
We study solutions of the supergravity equations with the string-like sources moving with the speed of light. An exact solution is obtained for the gravitational field of a boosted ring string in any...
Embedding of the Kerr-Newman Black Hole Surface in Euclidean Space (2006)
We obtain a global embedding of the surface of a rapidly rotating Kerr-Newman black hole in an Euclidean 4-dimensional space.
Gravitational field of charged gyratons (2005)
Frolov, Valeri P., Zelnikov, Andrei
We study relativistic gyratons which carry an electric charge. The Einstein-Maxwell equations in arbitrary dimensions are solved exactly in the case of a charged gyraton propagating in an...
Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes (2005)
Barrabès, Claude, Frolov, Valeri P., Lesigne, Emmanuel
Geometric inequalities of classical differential geometry are used to extend to higher dimensional spacetimes the Penrose-Gibbons isoperimetric inequalities and the hoop conjecture of general...
Relativistic gyratons in asymptotically AdS spacetime (2005)
Frolov, Valeri P., Zelnikov, Andrei
We study the gravitational field of a spinning radiation beam-pulse (a gyraton) in a D-dimensional asymptotically AdS spacetime. It is shown that the Einstein equations for such a system reduce to a...
Gravitational field of relativistic gyratons (2005)
Frolov, Valeri P., Israel, Werner, Zelnikov, Andrei
The metric ansatz is used to describe the gravitational field of a beam-pulse of spinning radiation (gyraton) in an arbitrary number of spacetime dimensions D. First we demonstrate that this metric...
Interaction of higher-dimensional rotating black holes with branes (2004)
Frolov, Valeri P, Fursaev, Dmitri V, Stojković, Dejan
We study interaction of rotating higher-dimensional black holes with a brane in spacetimes with large extra dimensions. We demonstrate that in a general case a rotating black hole attached to a brane...
Rotating black holes in brane worlds (2004)
Frolov, Valeri P., Fursaev, Dmitri V., Stojković, Dejan
We study interaction of rotating higher dimensional black holes with a brane in space-times with large extra dimensions. In the approximation when a black hole is slowly rotating and the tension of...
Black holes in a spacetime with large extra dimensions (2004)
Frolov, Valeri P.; Theoretical Physics Institute, University Of Alberta; Bmworkshop@mate.polimi.it
We discuss properties of black holes in a spacetime with large extra dimension
Stationary strings near a higher-dimensional rotating black hole (2004)
Frolov, Valeri P., Stevens, Kory A.
We study stationary string configurations in a space-time of a higher-dimensional rotating black hole. We demonstrate that the Nambu-Goto equations for a stationary string in the 5D Myers-Perry...
Interaction of higher-dimensional rotating black holes with branes (2004)
Frolov, Valeri P., Fursaev, Dmitri V., Stojkovic, Dejan
We study interaction of rotating higher dimensional black holes with a brane in space-times with large extra dimensions. We demonstrate that in a general case a rotating black hole attached to a...
Rotating black holes in brane worlds (2004)
Frolov, Valeri P., Fursaev, Dmitri V., Stojkovic, Dejan
We study interaction of rotating higher dimensional black holes with a brane in space-times with large extra dimensions. We demonstrate that a rotating black hole attached to a brane can be...
Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes (2004)
Barrabès, Claude, Frolov, Valeri P., Lesigne, Emmanuel
Geometric inequalities of classical differential geometry are used to extend to higher dimensional spacetimes the Penrose-Gibbons isoperimetric inequalities and the hoop conjecture of general...
Five Dimensional Rotating Black Hole in a Uniform Magnetic Field. The Gyromagnetic Ratio (2004)
Aliev, A. N., Frolov, Valeri P.
In four dimensional general relativity, the fact that a Killing vector in a vacuum spacetime serves as a vector potential for a test Maxwell field provides one with an elegant way of describing the...
Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes (2004)
Barrabès, Claude, Frolov, Valeri P., Lesigne, Emmanuel
Geometric inequalities of classical differential geometry are used to extend to higher dimensional spacetimes the Penrose-Gibbons isoperimetric inequalities and the hoop conjecture of general...
Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes (2004)
Barrabès, Claude, Frolov, Valeri P., Lesigne, Emmanuel
Geometric inequalities of classical differential geometry are used to extend to higher dimensional spacetimes the Penrose-Gibbons isoperimetric inequalities and the hoop conjecture of general...
Black Holes in a Compactified Spacetime (2003)
Frolov, Andrei V., Frolov, Valeri P.
We discuss properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the...
Gravitational Capture of Cosmic Strings by a Black Hole (1997)
De Villiers, Jean-Pierre, Frolov, Valeri P.
The gravitational interaction of an infinitely long cosmic string with a Schwarzschild black hole is studied. We consider a straight string that is initially at a great distance and moving at some...
Why the Entropy of a Black Hole is $A/4$? (1994)
A black hole considered as a part of a thermodynamical system possesses the Bekenstein-Hawking entropy $S_H =A_H /(4l_{\mbox{\scriptsize{P}}}^2)$, where $A_H$ is the area of a black hole surface and...