Generalized hybrid metric-Palatini gravity

Abstract

We introduce a new approach to modified gravity which generalizes the recently proposed hybrid metric-Palatini gravity. The gravitational action is taken to depend on a general function of both the metric and Palatini curvature scalars. The dynamical equivalence with a non-minimally coupled bi-scalar field gravitational theory is proved. The evolution of cosmological solutions is studied using dynamical systems techniques.

11 pages, 12 figures

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• Einstein static Universe in hybrid metric-Palatini gravity
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Galactic rotation curves in hybrid metric-Palatini gravity
• Quantum Cosmology of $f(R,T)$ gravity
• Two scalar field cosmology: Conservation laws and exact solutions
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• Cosmological implications of modified gravity induced by quantum metric fluctuations
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• 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
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• Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology
• Scalar-Fluid interacting dark energy: cosmological dynamics beyond the exponential potential
• Mass bounds for compact spherically symmetric objects in generalized gravity theories
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• Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential
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• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Spherically symmetric black holes and wormholes in hybrid metric-Palatini gravity
• The Einstein dark energy model
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Late-time evolution of the Universe within a two-scalar-field cosmological model
• Gravitational Landau Damping for massive scalar modes
• Hybrid metric-Palatini gravity: black holes, wormholes, singularities and instabilities
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• Dynamical system analysis of cosmological evolution in the Aether scalar tensor theory
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Vector dark energy models with quadratic terms in the Maxwell tensor derivatives
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Dynamics of interacting scalar field model in the realm of chiral cosmology
• Dynamical reconstruction of the $\Lambda$CDM model in the scalar-tensor representation of $f\left(Q,T\right)$ gravity
• Cosmic strings in generalized 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
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• Cosmological constraints on superconducting dark energy models
• Quadratic integrals of a multi-scalar cosmological model
• Hybrid metric-Palatini Higgs inflation
• New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries
• Palatini $f(R)$ gravity tests in the weak field limit: Solar System, seismology and galaxies
• Dynamical evolution of quintessence cosmology in a physical phase space
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• Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
• Inflation in non-local hybrid metric-Palatini gravity
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• Geodesic deviation equation in generalized hybrid Metric-Palatini gravity
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
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• Cosmological viability of a double field unified model from warm inflation
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• Testing the Dark Universe through the Layzer-Irvine Equation
• Hybrid metric-Palatini gravity: Regular stringlike configurations
• A connection between Gravitational Scalar-Tensor theories and Generalized Hybrid theories
• Cosmological and astrophysical applications of modified theories of gravity
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Energy conditions and gravitational baryogenesis in $f(R,\mathcal{R})$ gravity