Spherically symmetric space-times in generalized hybrid metric-Palatini gravity

Abstract

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory of gravity (generalized HMPG) suggested by Böhmer and Tamanini, involving both a metric $g_{\mu \nu }$ and an independent connection ${\hat{\Gamma }}_{\mu \nu }{}^{\alpha }$; the gravitational field Lagrangian is an arbitrary function $f(R,P)$ of two Ricci scalars, $R$ obtained from $g_{\mu \nu }$ and $P$ obtained from ${\hat{\Gamma }}_{\mu \nu }{}^{\alpha }$. The theory admits a scalar-tensor representation with two scalars $\varphi$ and $\xi$ and a potential $V(\varphi ,\xi )$ whose form depends on $f(R,P)$. Solutions are obtained in the Einstein frame and transferred back to the original Jordan frame for a proper interpretation. In the completely studied case $V\equiv 0$, generic solutions contain naked singularities or describe traversable wormholes, and only some special cases represent black holes with extremal horizons. For $V(\varphi ,\xi )\ne 0$, some examples of analytical solutions are obtained and shown to possess naked singularities. Even in the cases where the Einstein-frame metric $g_{\mu \nu }^E$ is found analytically, the scalar field equations need a numerical study, and if $g_{\mu \nu }^E$ contains a horizon, in the Jordan frame it turns to a singularity due to the corresponding conformal factor.

arXiv comment18 pages, 7 figures

References in corpus (38)

• Dynamics of dark energy
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Regular phantom black holes
• Instabilities of wormholes and regular black holes supported by a phantom scalar field
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Regular black holes and black universes
• Hybrid metric-Palatini gravity
• Cosmology of hybrid metric-Palatini f(X)-gravity
• The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
• Scalar mesostatic field with regard for gravitational effects
• Generalized hybrid metric-Palatini gravity
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Magnetic black universes and wormholes with a phantom scalar
• Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• On the stability of scalar-vacuum space-times
• Spherically symmetric false vacuum: no-go theorems and global structure
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• Scalar fields as sources for wormholes and regular black holes
• Invariant solutions and Noether symmetries in Hybrid Gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Scalar-tensor gravity and conformal continuations
• Spherically symmetric scalar vacuum: no-go theorems, black holes and solitons
• Trapped ghosts: a new class of wormholes
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Spherically symmetric black holes and wormholes in hybrid metric-Palatini gravity
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• Electrically Charged Cold Black Holes in Scalar-Tensor Theories
• Hybrid metric-Palatini gravity: black holes, wormholes, singularities and instabilities
• Magnetic wormholes and black universes with invisible ghosts
• Cosmic stringlike objects in hybrid metric-Palatini gravity
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Wormholes supported by chiral fields
• Scalar vacuum structure in general relativity and alternative theories. Conformal continuations

Cited by in corpus (6)

• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
• On the stability of electrovacuum space-times in scalar-tensor gravity
• On the stability of spherically symmetric space-times in scalar-tensor gravity
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential