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arXiv · 2006.06468

Marginally trapped and anti-trapped surfaces for matter evolution in D-dimensions

Konka Raviteja·Sashideep Gutti
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Abstract

In this paper, we explore the formation of the marginally trapped and marginally anti-trapped surfaces that arise from the evolution of homogeneous dust in D-dimensions with and without the cosmological constant, this is seen through the analytical expressions for such surfaces. We obtain closed form expressions for the Norm of the normal to the Horizon that decides their causal nature and also look at several interesting features of these surface evolution that are significantly different from the four dimensional counterpart. We obtain the expressions for the Ashtekar-Badrikrihnan's Area-balance law for dynamical horizon (spacelike surface) tailored for the case of spherically symmetric dust evolution in D-dimensions.

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Konka Raviteja, Sashideep Gutti. 2020-06-10. Marginally trapped and anti-trapped surfaces for matter evolution in D-dimensions. https://doi.org/10.1103/physrevd.102.024072

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