Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity
arXiv:1811.08213 · doi:10.1103/PhysRevD.98.124028
Abstract
We study static spherically and hyperbolically symmetric solutions of the Einstein equations in the presence of a conformally coupled scalar field and compare them with those in the space filled with a minimally coupled scalar field. We then study the Kantowski-Sachs cosmological solutions, which are connected with the static solutions by the duality relations. The main ingredient of these relations is an exchange of roles between the radial and the temporal coordinates, combined with the exchange between the spherical and hyperbolical two-dimensional geometries. A brief discussion of questions such as the relation between the Jordan and the Einstein frames and the description of the singularity crossing is also presented.
The final version, published in Physical Review D, the title is changed and some references and comments are added
References in corpus (39)
- The Standard Model Higgs boson as the inflaton
- Higgs inflation: consistency and generalisations
- Running Inflation in the Standard Model
- Inflation scenario via the Standard Model Higgs boson and LHC
- Standard Model Higgs boson mass from inflation
- Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
- Scalar fields, energy conditions, and traversable wormholes
- Question of quantum equivalence between Jordan frame and Einstein frame
- Traversable wormholes from massless conformally coupled scalar fields
- Higgs boson, renormalization group, and naturalness in cosmology
- Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology
- Physical non-equivalence of the Jordan and Einstein frames
- Scalar mesostatic field with regard for gravitational effects
- Invariant quantities in the scalar-tensor theories of gravitation
- Variable gravity Universe
- Antigravity and the big crunch/big bang transition
- No realistic wormholes from ghost-free scalar-tensor phantom dark energy
- One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results
- Scalar fields as sources for wormholes and regular black holes
- Conformal Frame Dependence of Inflation
- Integrable cosmological models with non-minimally coupled scalar fields
- Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
- Sailing through the big crunch-big bang transition
- Cold black holes and conformal continuations
- Eternal Universe
- Scalar-tensor gravity and conformal continuations
- Induced gravity, and minimally and conformally coupled scalar fields in Bianchi-I cosmological models
- Interdependence between integrable cosmological models with minimal and non-minimal coupling
- Cosmological solutions in multidimensional model with multiple exponential potential
- Journeys Through Antigravity?
- Frame Transformations of Gravitational Theories
- Dark matter effects in vacuum spacetime
- Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry
- Hidden Superconformal Symmetry of the Cosmological Evolution
- Bianchi-I cosmological model and crossing singularities
- Equations of motion in scalar-tensor theories of gravity: A covariant multipolar approach
- Quantum cosmological consistency condition for inflation
- Field redefinitions, Weyl invariance, and nature of mavericks
- On Black Hole Structures in Scalar-Tensor Theories of Gravity
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- Hyperbolically symmetric static fluids: A general study
- Geodesics of the hyperbolically symmetric black hole
- Through the Big Bang in inflationary cosmology
- Regular black holes, universes without singularities, and phantom-scalar field transitions
- Hyperbolically symmetric versions of Lemaitre-Tolman-Bondi spacetimes
- Covariant singularities in Quantum Field Theory and Quantum Gravity
- Through a Black Hole Singularity
- Non-static hyperbolicallly symmetric fluids
- Bianchi-I cosmologies, magnetic fields and singularities
- Induced Gravity and Quantum Cosmology
- CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold
- Generalized unimodular gravity in Friedmann and Kantowski-Sachs universes
- Future soft singularities, Born-Infeld-like fields and particles
- Regular Friedmann Universes and Matter Transformations
- Persistence in black hole lattice cosmological models
- Again About Singularity Crossing In Gravitation And Cosmology
- Dynamics of hyperbolically symmetric fluids
- Dynamical and static solutions to -scalar-tensor theory