Spherically symmetric black holes and wormholes in hybrid metric-Palatini gravity

Abstract

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 vacuum solutions of HMPG in the simplest case where its scalar-tensor representation has a zero scalar field potential $V(\varphi )$, and both Riemannian ($R$) and Palatini ($\mathcal{R}$) 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 $V(\varphi )=0$, in which there is at least one nontrivial ($\varphi \ne \mathrm{const}$) vacuum solution with $R\equiv 0$, necessarily reduces to a theory with a conformal scalar field (the latter may be usual or phantom).

12 pages, 5 figures. Minor changes, a reference added

References in corpus (12)

• Dynamics of dark energy
• Wormholes supported by hybrid metric-Palatini gravity
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Regular black holes and black universes
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
• Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• Cold black holes and conformal continuations
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• On wormholes with long throats and the stability problem

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