Einstein static Universe in hybrid metric-Palatini gravity

Abstract

Hybrid metric-Palatini gravity is a recent and novel approach to modified theories of gravity, which consists of adding to the metric Einstein-Hilbert Lagrangian an f(R) term constructed a la Palatini. It was shown that the theory passes local tests even if the scalar field is very light, and thus implies the existence of a long-range scalar field, which is able to modify the dynamics in galactic and cosmological scales, but leaves the Solar System unaffected. In this work, motivated by the possibility that the Universe may have started out in an asymptotically Einstein static state in the inflationary universe context, we analyse the stability of the Einstein static Universe by considering linear homogeneous perturbations in the respective dynamically equivalent scalar-tensor representation of hybrid metric-Palatini gravity. Considering linear homogeneous perturbations, the stability regions of the Einstein static universe are parametrized by the first and second derivatives of the scalar potential, and it is explicitly shown that a large class of stable solutions exists in the respective parameter space, in the context of hybrid metric-Palatini gravity.

10 pages, 6 figures; v2 added inhomogeneous perturbations

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Cited by in corpus (47)

• Hybrid metric-Palatini gravity
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• Einstein Static Universe in Rastall Theory of Gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Hybrid metric-Palatini stars
• The Cauchy problem in hybrid metric-Palatini f(X)-gravity
• Stability of the Einstein static universe in Einstein-Cartan theory
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• Stability Analysis of Einstein Universe in $f(\mathcal{G},T)$ Gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• The Einstein static universe in Scalar-Fluid theories
• Emergent scenario in the Einstein-Cartan theory
• Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
• General slow-roll inflation in $f(R)$ gravity under the Palatini approach
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Einstein static universe from GUP
• Testing f(R) gravity with the simulated data of gravitational waves from the Einstein Telescope
• Emergent universe in spatially flat cosmological model
• Einstein static Universe in non-minimal kinetic coupled gravity
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Test of hybrid metric-Palatini f(R)-gravity in binary pulsars
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Geometric Proca with Matter in Metric-Palatini Gravity
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Hybrid metric-Palatini brane system
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Thin accretion disk signatures in hybrid metric-Palatini gravity
• On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity
• Emergent scenario in mimetic gravity
• CMB power spectrum in the emergent universe with k-essence
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• Analytical approximations for primordial power spectra in a spatially closed emergent universe
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
• Evolving Wormholes in a Cosmological Background
• Gravitational waveforms from inspiral compact binaries in Hybrid metric-Palatini gravity
• Images of the accretion disk in Hybrid metric-Palatini gravity
• Extended Theories of Gravity in cosmological and astrophysical applications