Plebański-Demiański solutions in quadratic gravity with conformally coupled scalar fields
| Autor: | Scarlett C. Rebolledo-Caceres, Julio Oliva, Anibal Neira-Gallegos, Adolfo Cisterna |
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| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics Riemann curvature tensor Spacetime 010308 nuclear & particles physics General relativity Scalar (mathematics) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Curvature 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake High Energy Physics - Theory (hep-th) 0103 physical sciences symbols Tensor Wormhole 010306 general physics Scalar field Mathematical physics |
| Zdroj: | Physical Review D. 103 |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.103.064050 |
| Popis: | 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 rescallings. 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. Comment: 15 pages. V2: Typos fixed and references added. V3: References added. To appear in PRD |
| Databáze: | OpenAIRE |
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