Can a charged dust ball be sent through the Reissner-Nordström wormhole - General Relativity and Quantum CosmologyReportar como inadecuado




Can a charged dust ball be sent through the Reissner-Nordström wormhole - General Relativity and Quantum Cosmology - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: In a previous paper we formulated a set of necessary conditions for thespherically symmetric weakly charged dust to avoid Big Bang-Big Crunch, shellcrossing and permanent central singularities. However, we did not discuss theproperties of the energy density, some of which are surprising and seem not tohave been known up to now. A singularity of infinite energy density does exist- it is a point singularity situated on the world line of the center ofsymmetry. The condition that no mass shell collapses to $R = 0$ if it had $R >0$ initially thus turns out to be still insufficient for avoiding asingularity. Moreover, at the singularity the energy density $\epsilon$ isdirection-dependent: $\epsilon \to - \infty$ when we approach the singularpoint along a $t =$ const hypersurface and $\epsilon \to + \infty$ when weapproach that point along the center of symmetry. The appearance ofnegative-energy-density regions turns out to be inevitable. We discuss variousaspects of this property of our configuration. We also show that a permanentlypulsating configuration, with the period of pulsation independent of mass, ispossible only if there exists a permanent central singularity.



Autor: Andrzej Krasiński, Krzysztof Bolejko

Fuente: https://arxiv.org/







Documentos relacionados