Global visibility of naked singularities

Abstract

Global visibility of naked singularities is analyzed here for a class of spherically symmetric spacetimes, extending previous studies - limited to inhomogeneous dust cloud collapse - to more physical valid situations in which pressures are non-vanishing. Existence of nonradial geodesics escaping from the singularity is shown, and the observability of the singularity from far-away observers is discussed

Recent Developments in Gravitational Collapse and Spacetime Singularities

“…It was shown (see Ref. 6,103,104) that for a fixed value of the boundary there is a range of values of the first non-vanishing term in the expansion of the mass profile for which the singularity is only locally naked and a range of values for which it is globally naked. ¿From a mathematical point of view, this is not relevant since in dust models we always have the freedom to choose the boundary as we like.…”

Gravitational Collapse With Tangential Pressure

“…This marks a considerable difference with the LTB dust case where the potential U (r, t) is always decreasing, thus allowing only collapse to occur. Finally, from equation (II.7) we get the equation of motion: 18) where the negative sign has been considered in order to describe gravitational collapse. In some cases equation (II.18) can be integrated to obtain the function v(r, t), thus solving completely the system of Einstein equations.…”

Singularity resolution in gravitational collapse

“…These may act as a counterexample to the strong cosmic censorship hypothesis. Apart from the scenario mentioned above, examples of gravitational collapse of various matter fields have been shown to give rise to a naked singularity [12][13][14][15][16][17][18][19][20]. The intriguing question is whether cosmic censorship is respected in the gravitational collapse of fundamental matter fields deduced from a suitable Lagrangian.…”