Spherical collapse of a heat conducting fluid in higher dimensions without horizon

TL;DR

This paper presents higher-dimensional models of heat-conducting fluid collapse where no event horizon forms, challenging cosmic censorship, with solutions showing delayed collapse due to extra dimensions.

Contribution

It introduces a class of higher-dimensional solutions where collapse occurs without horizon formation, extending previous 4D results and providing explicit examples.

Findings

Collapse delays with extra dimensions

No horizon formation during collapse

Counterexample to cosmic censorship hypothesis

Abstract

We consider a scenario where the interior spacetime,described by a heat conducting fluid sphere is matched to a Vaidya metric in higher dimensions.Interestingly we get a class of solutions, where following heat radiation the boundary surface collapses without the appearance of an event horizon at any stage and this happens with reasonable properties of matter field.The non-occurrence of a horizon is due to the fact that the rate of mass loss exactly counterbalanced by the fall of boundary radius.Evidently this poses a counter example to the so-called cosmic censorship hypothesis.Two explicit examples of this class of solutions are also given and it is observed that the rate of collapse is delayed with the introduction of extra dimensions.The work extends to higher dimensions our previous investigation in 4D.