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5 papers · 2 filters
Killing spinor initial data sets
Alfonso García-Parrado Gómez-Lobo, Juan A. Valiente Kroon
A 3+1 decomposition of the twistor and valence-2 Killing spinor equation is made using the space spinor formalism. Conditions on initial data sets for the Einstein vacuum equations…
Dynamical laws of superenergy in General Relativity
Alfonso García-Parrado Gómez-Lobo
The Bel and Bel-Robinson tensors were introduced nearly fifty years ago in an attempt to generalize to gravitation the energy-momentum tensor of electromagnetism. This generalizati…
Conserved Matter Superenergy Currents for Orthogonally Transitive Abelian G2 Isometry Groups
Ingemar Eriksson
In a previous paper we showed that the electromagnetic superenergy tensor, the Chevreton tensor, gives rise to a conserved current when there is a hypersurface orthogonal Killing v…
The Chevreton Tensor and Einstein-Maxwell Spacetimes Conformal to Einstein Spaces
G. Bergqvist, I. Eriksson
In this paper we characterize the source-free Einstein-Maxwell spacetimes which have a trace-free Chevreton tensor. We show that this is equivalent to the Chevreton tensor being of…
Type O pure radiation metrics with a cosmological constant
S. Brian Edgar, M. P. Machado Ramos
In this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant , and , by considering the case $Λ+τ\ba…