Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario

By Adolfo Cisterna, Cristián Erices. 2014

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Asymptotically locally AdS and asymptotically locally flat black hole solutions are found for a particular case of the Horndeski action. The action contains the Einstein-Hilbert term in the gravity sector, a real scalar field with a non minimal kinetic coupling given by the Einstein tensor and an electric field represented by the Maxwell term. There is no scalar potential. The solution has two integration constants related with the mass and the electric charge. The solution is extended to the n-dimensional case. A new class of asymptotically locally flat spherically symmetric black holes is found when the minimal coupling for the scalar field is not considered (� = 0) and when the cosmological constant is present. In this case we get a solution which represent an electric field universe. The electric field at infinity is only supported by �. We showed that if we switch off the cosmological constant we obtain an asymptotically flat black hole.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e6b8c3db17fc282213eb8ddfa19e6c262d62322d

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In Astronomy and Astrophysics

In Mathematical Physics

Tsutomu Kobayashi

In Nuclear and High Energy Physics

Citations in the corpus

Horndeski theory and beyond: a review (2019, background): “Another possibility is relaxing the assumptions on the time independence of φ and/or its asymptotic behavior [272, 273, 274, 275, 276].”