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KerrSchild Symmetries
, 2000
"... We study continuous groups of generalized KerrSchild transformations and the vector fields that generate them in any ndimensional 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 KerrSchild transformations and the vector fields that generate them in any ndimensional 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
, 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 KerrSchild groups
, 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 KerrSchild (GKS) Ansatz through KerrSchild 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 KERRSCHILD METRICS GENERATED BY NONTWISTING CONGRUENCES †
, 2002
"... The KerrSchild 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 KerrSchild metrics contains two solutions: the Kasner metric and a metric wich can be obtained fro ..."
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The KerrSchild 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 KerrSchild metrics contains two solutions: the Kasner metric and a metric wich can be obtained
Abstract Cosmological Black Holes as Models of Cosmological Inhomogeneities
, 2006
"... Since cosmological black holes modify the density and pressure of the surrounding universe, and introduce heat conduction, they produce simple models of cosmological 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 obtained by generalizing the expanding KerrSchild cosmological black holes to obtain the charged case, by performing a KerrSchild transformation of the Einsteinde Sitter universe (instead of a closed universe) to obtain nonexpanding KerrSchild cosmological black
Energy Associated with a Charged Regular
, 2008
"... We show that using an adequate coordinate transformation the charged regular black hole solution given by AyónBeato and Garcia can be put in the KerrSchild form. Then we use this metric in KerrSchild 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 AyónBeato and Garcia can be put in the KerrSchild form. Then we use this metric in KerrSchild Cartesian coordinates with a result given by Virbhadra and obtain the energy distribution
KIASP08002 KerrNewmande Sitter Solution on DGP Brane
, 802
"... We find an exact solution of KerrNewmande Sitter type on the braneworld(4D) of the DGP model. When a constant 4D Ricci scalar is assumed, only zero(flat) and a positive(deSitter) values satisfy the Hamiltonian constraint equation coming from the extra dimension. With a Z2symmetry 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 KerrSchild form with deSitter background. In the deSitter background this KerrSchild solution is well behaved under BoyerLindquist transformation: the constraint equation is preserved
Universidad de Salamanca,
"... 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 powerlaw 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 KerrSchild form. We first show that the geodesics for both massive and massless particles can be described globally in the KerrSchild 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
, 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 “BoyerLindquisttype ” 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 KerrSchildtype coordinates is looked for. Indeed, such transformation is found to exist. And in this KerrSchildtype coordinates, truely maximal extension of its global structure by analytically continuing
Rotating metrics admitting nonperfect fluids in General Relativity
, 2008
"... In this paper an application of NewmanJanis 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 WangWu function. All rotating embedded solutions derived here can be written in KerrSchild forms, showing the extension of Xanthopoulos’s theorem. It is also found that all the rotating solutions admit nonperfect fluids. PACS number: 0420, 0420J, 0430, 0440N 1 1