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Static spherically symmetric solutions in a subclass of Horndeski theories of gravity

TIFPA — INFN and Dipartimento di Fisica, Università di Trentosss, Via Sommarive 14, 38123 Povo (TN), Italy

E-mail Address: lorenzo.sebastiani@unitn.it

https://doi.org/10.1142/S0219887818501529Cited by:4 (Source: Crossref)

Abstract

In this paper, we will consider a subclass of models of Horndeski theories of gravity and we will check for several Static Spherically Symmetric solutions. We will find a model which admits an exact black hole (BH) solution and we will study its thermodynamics by using the Euclidean Action. We will see that, in analogy with the case of General Relativity (GR), the integration constant of the solution can be identified with the mass of the BH itself. Other solutions will be discussed, by posing special attention on the possibility of reproducing the observed profiles of the rotation curves of galaxies.^a

Keywords:

AMSC: 83Dxx

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