Sudden singularities in generalized hybrid metric-Palatini cosmologies

Abstract

In this work, we explore cosmological sudden singularities arising in the dynamically equivalent scalar-tensor representation of generalized hybrid metric-Palatini gravity. Using a FLRW background, we show that the structure of the field equations prevents sudden singularities from arising at time derivatives of the scale factor of orders lower than four, but that they are allowed to appear for time derivatives of higher orders. Imposing an ansatz for the scale factor, we provide an explicit solution where these sudden singularities appear in the fourth-order time derivative of the scale factor. A comparison of the Hubble and deceleration parameters arising from this model with the experimental measurements from the Planck Satellite allow us to impose constraints on the time span for which the occurrence of sudden singularities becomes likely in our universe, as measured from the Big Bang.

arXiv commentv2: 20 pages, 3 figures; matches published version in JCAP format

References in corpus (75)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• Cosmological Imprint of an Energy Component with General Equation of State
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Phantom Energy and Cosmic Doomsday
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Properties of singularities in (phantom) dark energy universe
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Sudden Future Singularities
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• The Little Rip
• Scalar-tensor theories and modified gravity in the wake of GW170817
• Wormholes supported by hybrid metric-Palatini gravity
• Modified Gravity and Cosmology: An Update by the CANTATA Network
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• More General Sudden Singularities
• Hybrid metric-Palatini gravity
• New Isotropic and Anisotropic Sudden Singularities
• Classification of cosmological milestones
• Models for Little Rip Dark Energy
• Cosmology of hybrid metric-Palatini f(X)-gravity
• The Observational Future of Cosmological Scalar-Tensor Theories
• The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
• Generalized hybrid metric-Palatini gravity
• Statefinders, higher-order energy conditions and sudden future singularities
• 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
• Barotropic index w-singularities in cosmology
• Einstein static Universe in hybrid metric-Palatini gravity
• Galactic rotation curves in hybrid metric-Palatini gravity
• Sudden future singularities in FLRW cosmologies
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• Classical Stability of Sudden and Big Rip Singularities
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Hybrid metric-Palatini stars
• Ghosts in pure and hybrid formalisms of gravity theories: a unified analysis
• Crossing SNe Ia and BAO observational constraints with local ones in hybrid metric-Palatini gravity
• Dynamics of Linear Perturbations in the hybrid metric-Palatini gravity
• A General Sudden Cosmological Singularity
• The Cauchy problem in hybrid metric-Palatini f(X)-gravity
• Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology
• Constraints on hybrid metric-Palatini models from background evolution
• Quantum Particle Production at Sudden Singularities
• Sudden singularities survive massive quantum particle production
• Observational constraints on cosmological future singularities
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Geodesics at Sudden Singularities
• Spherically symmetric black holes and wormholes in hybrid metric-Palatini gravity
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• 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
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Cosmic stringlike objects in hybrid metric-Palatini gravity
• The fate of bound systems through Sudden Future Singularities
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Variational principle and boundary terms in gravity à la Palatini
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Hybrid metric-Palatini brane system
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Hybrid f(R) theories, local constraints, and cosmic speedup
• The Construction of Sudden Cosmological Singularities
• The Generic Sudden Singularity in Brans-Dicke Theory
• New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries
• New Anisotropic Sudden Singularities and Dimensional Reduction
• Cosmological future singularities in interacting dark energy models
• Series expansions and sudden singularities
• Cosmological and astrophysical applications of modified theories of gravity

Cited by in corpus (14)

• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Cosmological future singularities in massive gravity and massive bigravity
• Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
• Sudden cosmological singularities in Aether scalar-tensor theories
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Energy conditions and gravitational baryogenesis in $f(R,\mathcal{R})$ gravity
• Propagation and emission of gravitational waves in the weak-field limit within the Palatini formalism