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Plebanski-Demianski solutions in quadratic gravity with conformally coupled scalar fields

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Autor(es):
Cisterna, Adolfo ; Neira-Gallegos, Anibal ; Oliva, Julio ; Rebolledo-Caceres, Scarlett C.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 103, n. 6, p. 7-pg., 2021-03-23.
Resumo

We show that the Plebanski-Demianski spacetime persists as a solution of general relativity when the theory is supplemented with both, a conformally coupled scalar theory and with quadratic curvature corrections. The quadratic terms are of two types and are given by quadratic combinations of the Riemann tensor as well as a higher curvature interaction constructed with a scalar field which is conformally coupled to quadratic terms in the curvature. The later is built in terms of a four-rank tensor S-mu nu(lambda rho) that depends on the Riemann tensor and the scalar field, and that transforms covariantly under local Weyl rescalings. Due to the generality of the Plebanski-Demianski family, several new hairy black hole solutions are obtained in this higher curvature model. We pay particular attention to the C-metric spacetime and the stationary Taub-NUT metric, which in the hyperbolic case can be analytically extended leading to healthy, asymptotically AdS, wormhole configurations. Finally, we present a new general model for higher derivative, conformally coupled scalars, depending on an arbitrary function and that we have dubbed conformal K essence. We also construct spherically symmetric hairy black holes for these general models. (AU)

Processo FAPESP: 19/13231-7 - Rede Chile - São Paulo de holografia
Beneficiário:Horatiu Stefan Nastase
Modalidade de apoio: Auxílio à Pesquisa - Regular