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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/598
Title: | Black Holes in Large Number of Dimensions |
Authors: | Minwalla, Shiraz DE, ANANDITA Dept. of Physics 20111045 |
Keywords: | 2016 Black Holes, Large Dimensions |
Issue Date: | Jan-2016 |
Publisher: | 1504.06613 |
Citation: | 1504.06613 |
Abstract: | We study the effective horizon dynamics of black holes in large number of dimensions($D$). To do this,we construct $SO(D-p-2)$ invariant solutions to Einstein's equations in large number of dimensions D in a power series expansion in $\frac{1}{D-3}$ holding $p$ fixed and finite. We find that the horizon dynamics of black holes in large D can be recast into a well-posed initial value problem of dynamics of a non gravitational co-dimension one membrane propagating in flat space. The dynamical degrees of freedom of this membrane are its shape function and a divergence free velocity field. We find the equation of motion governing the dynamics of this membrane upto first subleading order in $\frac{1}{D-3}$. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/598 |
Appears in Collections: | MS THESES |
Files in This Item:
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thesismainfinal.pdf | 917.3 kB | Adobe PDF | View/Open | |
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