2018
DOI: 10.48550/arxiv.1805.03899
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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 g00g11 = −1. Finally, we prove that c/r is the only non-Lagrangian singularity eventually present into the solution.

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Cited by 4 publications
(4 citation statements)
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“…The essential difference is that, in our case, the outermost surface of the collapsing matter reaches the Schwarzschild radius before stabilizing. Our model is also consistent with the recent discussion in [27].…”
Section: Introductionsupporting
confidence: 93%
“…The essential difference is that, in our case, the outermost surface of the collapsing matter reaches the Schwarzschild radius before stabilizing. Our model is also consistent with the recent discussion in [27].…”
Section: Introductionsupporting
confidence: 93%
“…To the best of our knowledge, [1065] was the first to introduce the non-polynomial gravity approach. Models of these type have later been considered in various works (particularly in the search for regular BHs), see for instance [1066][1067][1068][1069][1070][1071][1072][1073][1074][1075].…”
Section: Dst Black Holementioning
confidence: 99%
“…Therefore, a non-singular black hole is not a generic configuration and the criterion C5 in Section 1 is not fulfilled in the system (2.45). This property has been studied in a more general framework in [63].…”
Section: Nonlinear Electromagnetic Fieldmentioning
confidence: 99%