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arXiv · 1608.02696

Constrained field theories on spherically symmetric spacetimes with horizons

Karan Fernandes·Suman Ghosh·Amitabha Lahiri
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Abstract

We apply the Dirac-Bergmann algorithm for the analysis of constraints to gauge theories defined on spherically symmetric black hole backgrounds. We find that the constraints for a given theory are modified on such spacetimes through the presence of additional contributions from the horizon. As a concrete example, we consider the Maxwell field on a black hole background, and determine the role of the horizon contributions on the dynamics of the theory.

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Karan Fernandes, Suman Ghosh, Amitabha Lahiri. 2016-08-09. Constrained field theories on spherically symmetric spacetimes with horizons. https://doi.org/10.1103/physrevd.95.045012

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