A no-go theorem for regular black holes

Abstract

In this article we discuss a no-go theorem for generating regular black holes from a Lagrangian theory. We prove that the general solution has always a Schwarzschild-like term $c/r$, as long as the matter Lagrangian depends neither on the metric, nor on its derivatives; we also prove that, under suitable additional conditions, these two conditions are also equivalent to $g_{00}{g}_{11}=-1$. Finally, we prove that $c/r$ is the only non-Lagrangian singularity eventually present into the solution.

16 pages, no figures

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Cited by in corpus (1)

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