Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-12-20
Phys.Rev.D83:104020,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Regular article, no figures, 29 pages
Scientific paper
10.1103/PhysRevD.83.104020
For a large class of space and time-dependent warped geometries we find the general solution of the 6-dimensional Einstein-Gauss-Bonnet equations in the presence of p-form matter fields. This is done under two conditions on the matter sector which we show impose the integrability of the full system. Solutions are classified and known black hole limits are found. It is shown that Lovelock gravity restricts drastically the possible horizon geometries and allowed matter sources. In fact, we show that if we allow only for solutions of asymptotically flat falloff behaviour, and no fine-tuning of coupling constants, then the only permissible black hole is that of Boulware-Deser with electromagnetic charge. The situation of 6 dimensional Lovelock gravity is therefore almost identical to 4 dimensional General Relativity. The gravitational horizon constraints lead us to find static solutions involving 3-form matter fields in anti de-Sitter space which are also new to General Relativity along with other cosmological and black string type of solutions.
Bardoux Yannis
Charmousis Christos
Kolyvaris Theodoros
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