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arXiv · 2210.16077

Scalar fields and Lifshitz black holes from Derrick's theorem evasion

D. C. Moreira·F. A Brito·J. C. Mota-Silva
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Abstract

We study classical scalar fields in asymptotically Lifshitz spacetimes. By evading Derrick's theorem requiring the scalar potential to explicitly depend on the background coordinates, we induce a diffeomorphism invariance breaking and settle a first-order formalism to find spatially localized solutions in the probe field limit. By inserting a backreaction equipped with a cosmological constant and a Maxwell term coupled to a dielectric function in the model, we find a Lifshitz black hole solution.

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D. C. Moreira, F. A Brito, J. C. Mota-Silva. 2022-10-28. Scalar fields and Lifshitz black holes from Derrick's theorem evasion. https://doi.org/10.1103/physrevd.106.125017

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