Extended gravitational decoupling in 2 + 1 dimensional space-times

space-times: Decoupling GEM tensor harmonic amplitudes

Abstract. This paper considers gauge-invariant and covariant gravitational perturbations on arbitrary vacuum locally rotationally symmetric (LRS) class II space-times. Ultimately, we derive four decoupled equations governing four specific combinations of the gravito-electromagnetic (GEM) 2-tensor harmonic amplitudes. We use the gauge-invariant and covariant 1+1+2 formalism which Clarkson and Ba...

1+1+2 gravitational perturbations on LRS class II space-times: GEM scalar harmonic amplitudes

Abstract. This is the third in a series of papers which considers first-order gaugeinvariant and covariant gravitational perturbations to locally rotationally symmetric (LRS) class II space-times. In this paper we complete our analysis of the firstorder gravito-electromagnetic (GEM) system by showing how to derive three decoupled equations governing the GEM scalar fields. One of these is for th...

Five-Dimensional Space-Times

Gravitational collapse of Type II fluid in higher dimensional space-times

We find the general solution of the Einstein equation for spherically symmetric collapse of Type II fluid (null strange quark fluid) in higher dimensions. It turns out that the nakedness and curvature strength of the shell focusing singularities carry over to higher dimensions. However, there is shrinkage of the initial data space for a naked singularity of the Vaidya collapse due to the presen...

v 1 2 4 M ay 2 00 1 On naked singularities in higher dimensional Vaidya space - times

We investigate the end state of gravitational collapse of null fluid in higher dimensional space-times. Both naked singularities and black holes are shown to be developing as final outcome of the collapse. The naked singularity spectrum in collapsing Vaidya region (4D) gets covered continuously with introduction of extra dimensions. PACS number(s): 04.20.Dw, 04.20.Cv, 04.70.Bw