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Kerr-Schild Symmetries

by Bartolomé Coll, Sergi R. Hildebrandt, José M. M. Senovilla , 2000
"... We study continuous groups of generalized Kerr-Schild transformations and the vector fields that generate them in any n-dimensional manifold with a Lorentzian metric. We prove that all these vector fields can be intrinsically characterized and that they constitute a Lie algebra if the null deformati ..."
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We study continuous groups of generalized Kerr-Schild transformations and the vector fields that generate them in any n-dimensional manifold with a Lorentzian metric. We prove that all these vector fields can be intrinsically characterized and that they constitute a Lie algebra if the null

Stationary generalized Kerr–Schild spacetimes

by Carlos F. Sopuerta , 2008
"... In this paper we have applied the generalized Kerr–Schild transformation finding a new family of stationary perfect–fluid solutions of the Einstein field equations. The procedure used combines some well–known techniques of null and timelike vector fields, from which some properties of the solutions ..."
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In this paper we have applied the generalized Kerr–Schild transformation finding a new family of stationary perfect–fluid solutions of the Einstein field equations. The procedure used combines some well–known techniques of null and timelike vector fields, from which some properties of the solutions

A physical application of Kerr-Schild groups

by Sergi R. Hildebrandt , 2008
"... The present work deals with the search of useful physical applications of some generalized groups of metric transformations. We put forward different proposals and focus our attention on the implementation of one of them. Particularly, the results show how one can control very efficiently the kind o ..."
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of spacetimes related by a Generalized Kerr-Schild (GKS) Ansatz through Kerr-Schild groups. Finally a preliminar study regarding other generalized groups of metric transformations is undertaken which is aimed at giving some hints in new Ansätze to finding useful solutions to Einstein’s equations. 1

VACUUM KERR-SCHILD METRICS GENERATED BY NONTWISTING CONGRUENCES †

by László Á. Gergelya, Zoltán Perjés B , 2002
"... The Kerr-Schild pencil of metrics ˜gab = gab + V lalb, with gab and ˜gab satisfying the vacuum Einstein equations, is investigated in the case when the null vector l has vanishing twist. This class of Kerr-Schild metrics contains two solutions: the Kasner metric and a metric wich can be obtained fro ..."
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The Kerr-Schild pencil of metrics ˜gab = gab + V lalb, with gab and ˜gab satisfying the vacuum Einstein equations, is investigated in the case when the null vector l has vanishing twist. This class of Kerr-Schild metrics contains two solutions: the Kasner metric and a metric wich can be obtained

Abstract Cosmological Black Holes as Models of Cosmological Inhomogeneities

by Megan L. Mcclure, Megan L. Mcclure , 2006
"... Since cosmological black holes modify the density and pressure of the surrounding universe, and introduce heat conduction, they produce simple models of cosmologi-cal inhomogeneities that can be used to study the eect of inhomogeneities on the universe's expansion. In this thesis, new cosmologi ..."
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cosmological black hole solutions are ob-tained by generalizing the expanding Kerr-Schild cosmological black holes to obtain the charged case, by performing a Kerr-Schild transformation of the Einstein-de Sitter universe (instead of a closed universe) to obtain non-expanding Kerr-Schild cosmo-logical black

Energy Associated with a Charged Regular

by Black Hole, I. Radinschi , 2008
"... We show that using an adequate coordinate transformation the charged regular black hole solution given by Ayón-Beato and Garcia can be put in the Kerr-Schild form. Then we use this metric in Kerr-Schild Cartesian coordinates with a result given by Virbhadra and obtain the energy distribution associa ..."
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We show that using an adequate coordinate transformation the charged regular black hole solution given by Ayón-Beato and Garcia can be put in the Kerr-Schild form. Then we use this metric in Kerr-Schild Cartesian coordinates with a result given by Virbhadra and obtain the energy distribution

KIAS-P08002 Kerr-Newman-de Sitter Solution on DGP Brane

by Daeho Lee, Ee Chang-young, Myungseok Yoon , 802
"... We find an exact solution of Kerr-Newman-de Sitter type on the braneworld(4D) of the DGP model. When a constant 4D Ricci scalar is assumed, only zero(flat) and a positive(de-Sitter) values satisfy the Hamiltonian constraint equation coming from the extra dimension. With a Z2-symmetry across the bran ..."
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the brane and a stationary and axisymmetric metric ansatz on the brane, we solve the constraint equation exactly in the Kerr-Schild form with de-Sitter background. In the de-Sitter background this Kerr-Schild solution is well behaved under Boyer-Lindquist transformation: the constraint equation is preserved

Universidad de Salamanca,

by Pablo Galindo, Marc Mars
"... The McGehee regularization is a method to study the singularity at the origin of the dynamical system describing a point particle in a plane moving under the action of a power-law potential. It was used by Belbruno and Pretorius [Belbruno and Pretorius, 2011] to perform a dynamical system regulariza ..."
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or null) in any stationary and spherically symmetric spacetime of Kerr-Schild form. We first show that the geodesics for both massive and massless particles can be described globally in the Kerr-Schild spacetime as the motion of a Newtonian point particle in a suitable radial potential and study

Spinning BTZ Black Hole versus Kerr Black Hole: A Closer Look

by Hongsu Kim , 1998
"... By applying Newman’s algorithm, the AdS3 rotating black hole solution is “derived ” from the nonrotating black hole solution of Bañados, Teitelboim, and Zanelli (BTZ). The rotating BTZ solution derived in this fashion is given in “Boyer-Lindquist-type ” coordinates whereas the form of the solution o ..."
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for rotating BTZ solution are newly found via Newman’s algorithm, next, the transformation to Kerr-Schild-type coordinates is looked for. Indeed, such transformation is found to exist. And in this Kerr-Schild-type coordinates, truely maximal extension of its global structure by analytically continuing

Rotating metrics admitting non-perfect fluids in General Relativity

by unknown authors , 2008
"... In this paper an application of Newman-Janis algorithm in spherical symmetric metrics with the functions M(u,r) and e(u,r) has been discussed. After the transformation of the metric via this algorithm, these two functions M(u,r) and e(u,r) will be of the three variables u,r,θ. With these functions o ..."
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solutions with Wang-Wu function. All rotating embedded solutions derived here can be written in Kerr-Schild forms, showing the extension of Xanthopoulos’s theorem. It is also found that all the rotating solutions admit non-perfect fluids. PACS number: 0420, 0420J, 0430, 0440N 1 1
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