Publication: Spherically Symmetric Black Holes and Wormholes in Hybrid Metric-Palatini Gravity
Дата
2019
Авторы
Bronnikov, K. A.
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Аннотация
© 2019, Pleiades Publishing, Ltd.The so-called hybrid metric-Palatini theory of gravity (HMPG), proposed in 2012 by T. Harko et al., is known to successfully describe both local (solar-system) and cosmological observations. This paper gives a complete description of static, spherically symmetric vacuum solutions of HMPG in the simplest case where its scalar-tensor representation has a zero scalar field potential V(ϕ), and both Riemannian (R) and Palatini (R) Ricci scalars are zero. Such a scalar-tensor theory coincides with general relativity with a phantom conformally coupled scalar field as a source of gravity. Generic asymptotically flat solutions either contain naked central singularities or describe traversable wormholes, and there is a special two-parameter family of globally regular black hole solutions with extremal horizons. In addition, there is a one-parameter family of solutions with an infinite number of extremal horizons between static regions and a spherical radius monotonically changing from region to region. It is argued that the obtained black hole and wormhole solutions are unstable under monopole perturbations. As a by-product, it is shown that a scalar-tensor theory with V(ϕ) = 0, in which there is at least one nontrivial (ϕ ≠ const) vacuum solution with R ≡ 0, necessarily reduces to a theory with a conformal scalar field (the latter may be usual or phantom).
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Bronnikov, K. A. Spherically Symmetric Black Holes and Wormholes in Hybrid Metric-Palatini Gravity / Bronnikov, K.A. // Gravitation and Cosmology. - 2019. - 25. - № 4. - P. 331-341. - 10.1134/S0202289319040030
URI
https://www.doi.org/10.1134/S0202289319040030
https://www.scopus.com/record/display.uri?eid=2-s2.0-85076199368&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000511837800006
https://openrepository.mephi.ru/handle/123456789/19017
https://www.scopus.com/record/display.uri?eid=2-s2.0-85076199368&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000511837800006
https://openrepository.mephi.ru/handle/123456789/19017