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Asymptotically Flat Radiating Solutions in Third Order Lovelock Gravity · Around

2008

Asymptotically Flat Radiating Solutions in Third Order Lovelock Gravity

Dehghani, M. H., Farhangkhah, N.

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In 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.

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