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arXiv · 1210.0722

Generalized Smarr formula as a local identity for arbitrary dimensional black holes

Sujoy Kumar Modak
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Abstract

We discuss a method based on Killing symmetries and Komar conserved charges to generalize Smarr mass formula for arbitrary dimensional charged, rotating spacetime. We derive a local identity defined at the event horizon of the rotating black hole in Einstein-Maxwell gravity which reproduces the generalized Smarr formula as a by-product. The advantages of this new identity are the following: (i) unlike Smarr formula, which is non-local, this identity is purely local and hence a switchover between horizon and infinity is unnecessary and (ii) the new identity could be mapped with the recent investigations on emergent gravity.

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Sujoy Kumar Modak. 2012-10-02. Generalized Smarr formula as a local identity for arbitrary dimensional black holes. https://doi.org/10.1088/1742-6596/405/1/012023

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