Weak-field regime of the generalized hybrid metric-Palatini gravity

Abstract

In this work we explore the dynamics of the generalized hybrid metric-Palatini theory of gravity in the weak-field, slow-motion regime. We start by introducing the equivalent scalar-tensor representation of the theory, which contains two scalar degrees of freedom, and perform a conformal transformation to the Einstein frame. Linear perturbations of the metric in a Minkowskian background are then studied for the metric and both scalar fields. The effective Newton constant and the PPN parameter $\gamma$ of the theory are extracted after transforming back to the (original) Jordan frame. Two particular cases where the general method ceases to be applicable are approached separately. A comparison of these results with observational constraints is then used to impose bounds on the masses and coupling constants of the scalar fields.

References in corpus (26)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Limit to General Relativity in f(R) theories of gravity
• Wormholes supported by hybrid metric-Palatini gravity
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Hybrid metric-Palatini stars
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Dynamics of Linear Perturbations in the hybrid metric-Palatini gravity
• Unveiling the Dynamics of the Universe
• Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Late-time evolution of the Universe within a two-scalar-field cosmological model
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Hybrid metric-Palatini gravity: black holes, wormholes, singularities and instabilities
• Test of hybrid metric-Palatini f(R)-gravity in binary pulsars
• Cosmic stringlike objects in hybrid metric-Palatini gravity
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Hybrid f(R) theories, local constraints, and cosmic speedup
• New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries

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• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Geometric Proca with Matter in Metric-Palatini Gravity
• Tensor-Multi-Scalar Gravity: Equations of Motion to 2.5 post-Newtonian Order
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Thin accretion disk signatures in hybrid metric-Palatini gravity
• Spherically symmetric space-times in generalized hybrid metric-Palatini gravity
• 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
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Gravitational waveforms from inspiral compact binaries in Hybrid metric-Palatini gravity
• Images of the accretion disk in Hybrid metric-Palatini gravity
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas