Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Alfonso García-Parrado"'
An analysis of conformal geodesics in the Schwarzschild-de Sitter and Schwarzschild-anti de Sitter families of spacetimes is given. For both families of spacetimes we show that initial data on a spacelike hypersurface can be given such that the congr
Externí odkaz:
http://arxiv.org/abs/1704.05639
A new family of conserved currents for vacuum space-times with a Killing vector is presented. The currents are constructed from the superenergy tensor of the Mars-Simon tensor and using the positivity properties of the former we find that the conserv
Externí odkaz:
http://arxiv.org/abs/1606.01475
A vacuum type D initial data set is a vacuum initial data set of the Einstein field equations whose data development contains a region where the space-time is of Petrov type D. In this paper we give a {\em systematic} characterisation of a vacuum typ
Externí odkaz:
http://arxiv.org/abs/1602.08075
Publikováno v:
Phys. Rev. D 92, 124053 (2015)
For any vacuum initial data set, we define a local, non-negative scalar quantity which vanishes at every point of the data hypersurface if and only if the data are {\em Kerr initial} data. Our scalar quantity only depends on the quantities used to co
Externí odkaz:
http://arxiv.org/abs/1510.07561
In this work we present a geometric identity involving the Bel-Robinson tensor which is formally similar to the Sparling identity (which involves the Einstein tensor through the Einstein 3-form). In our identity the Bel-Robinson tensor enters through
Externí odkaz:
http://arxiv.org/abs/1308.4390
A necessary and sufficient condition for the leaves of a {\em non-degenerate} foliation of a pseudo-Riemannian manifold to be conformally flat is developed. The condition mimics the classical condition of the vanishing of the Weyl or Cotton tensor es
Externí odkaz:
http://arxiv.org/abs/1212.5908
A number of scalar invariant characterizations of the Kerr solution are presented. These characterizations come in the form of {\em quality factors} defined in stationary space-times. A quality factor is a scalar quantity varying in the interval $[0,
Externí odkaz:
http://arxiv.org/abs/1211.6884
The "Spinors" software is a "Mathematica" package which implements 2-component spinor calculus as devised by Penrose for General Relativity in dimension 3+1. The "Spinors" software is part of the "xAct" system, which is a collection of "Mathematica"
Externí odkaz:
http://arxiv.org/abs/1110.2662
Publikováno v:
Class. Quantum Grav. 28 (2011) 147001
A simple characterization of the causal automorphisms of 1+1 Minkowski spacetime is given.
Comment: 4 pages, no figures. To appear in Classical and Quantum Gravity
Comment: 4 pages, no figures. To appear in Classical and Quantum Gravity
Externí odkaz:
http://arxiv.org/abs/1105.2192
Publikováno v:
J.Phys.Conf.Ser.314:012024,2011
Using extensions of the Newman-Penrose and Geroch-Held-Penrose formalisms to five dimensions, we invariantly classify all Petrov type $D$ vacuum solutions for which the Riemann tensor is isotropic in a plane orthogonal to a pair of Weyl alligned null
Externí odkaz:
http://arxiv.org/abs/1102.3142