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

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.

arXiv comment14 pages, 12 figures

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Cited by in corpus (4)

• Trapping Horizons of the Evolving Charged Wormhole and Black Bounce
• Causal description of marginally trapped surfaces in D-dimensions
• Maximal hypersurface in a D-dimensional dynamical spacetime
• Charged traversable wormholes: charge without charge