Asymptotically Flat Radiating Solutions in Third Order Lovelock Gravity

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dc.creatorDehghani, M. H.
dc.creatorFarhangkhah, N.
dc.date2008-06-09
dc.date2008-08-28
dc.date.accessioned2026-07-07T12:43:52Z
dc.date.available2026-07-07T12:43:52Z
dc.descriptionIn this paper, we present an exact spherically symmetric solution of third order Lovelock gravity in $n$ dimensions which describes the gravitational collapse of a null dust fluid. This solution is asymptotically (anti-)de Sitter or flat depending on the choice of the cosmological constant. Using the asymptotically flat solution for $n \geq 7$ with a power-law form of the mass as a function of the null coordinate, we present a model for a gravitational collapse in which a null dust fluid radially injects into an initially flat and empty region. It is found that a naked singularity is inevitably formed whose strength is different for the $n = 7$ and $n \geq 8$ cases. In the $n=7$ case, the limiting focusing condition for the strength of curvature singularity is satisfied. But for $n \geq 8$, the strength of curvature singularity depends on the rate of increase of mass of the spacetime. These considerations show that the third order Lovelock term weakens the strength of the curvature singularity.
dc.description15 pages, no figure, references added, two appendix added
dc.identifierhttps://arxiv.org/abs/0806.1426
dc.identifierhttp://arxiv.org/abs/0806.1426
dc.identifierPhys.Rev.D78:064015,2008
dc.identifierdoi:10.1103/PhysRevD.78.064015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220572
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleAsymptotically Flat Radiating Solutions in Third Order Lovelock Gravity
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