Evolution of Structures in Generalized Gravity Theories

Abstract

A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the equations for the background and the perturbations, and the general asymptotic solutions for the perturbations in the generalized Einstein's gravity from the simple results known in the minimally coupled scalar field. Results for the scalar and tensor perturbations can be presented in unified forms. The large scale evolutions for both modes are characterized by corresponding conserved quantities. We also present the normalization condition for canonical quantization.

9 pages, revtex, no figures

References in corpus (5)

• Metric Perturbations in Dilaton-Driven Inflation
• Unified Analysis of Cosmological Perturbations in Generalized Gravity
• CBR anisotropy from primordial gravitational waves in inflationary cosmologies
• Renormalization of the P- and T-odd nuclear potentials by the strong interaction and enhancement of P-odd effective field
• Cosmological Gravitational Wave in a Gravity with Quadratic Order Curvature Couplings

Cited by in corpus (67)

• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Second-order Perturbations of the Friedmann World Model
• The stability of modified gravity models
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Solar System experiments do not yet veto modified gravity models
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• f(R) gravity theory and CMBR constraints
• Supergravity based inflation models: a review
• Gauge-ready formulation of the cosmological kinetic theory in generalized gravity theories
• The phase space view of f(R) gravity
• Inflationary spectra in generalized gravity: Unified forms
• Modified gravity and the stability of de Sitter space
• Extended Slow-Roll Conditions and Rapid-Roll Conditions
• Cosmic microwave background with Brans-Dicke gravity II: constraints with the WMAP and SDSS data
• de Sitter attractors in generalized gravity
• Imperfect fluid description of modified gravities
• A crucial ingredient of inflation
• Quantum fluctuations of Cosmological Perturbations in Generalized Gravity
• Conserved cosmological structures in the one-loop superstring effective action
• Nonminimal Coleman--Weinberg Inflation with an $R^2$ term
• Gravitational Wave Spectrums from Pole-like Inflations based on Generalized Gravity Theories
• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• COBE constraints on inflation models with a massive non-minimal scalar field
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling
• Extended quintessence, inflation, and stable de Sitter spaces
• Uniqueness of the gauge invariant action for cosmological perturbations
• Extended Slow-Roll Conditions and Primordial Fluctuations: Multiple Scalar Fields and Generalized Gravity
• Generalized slow-roll inflation
• Inflationary universe from higher derivative quantum gravity coupled with scalar electrodynamics
• Negative energy and stability in scalar-tensor gravity
• Hawking-Hayward quasi-local energy under conformal transformations
• Gauge invariant perturbations of Scalar-Tensor Cosmologies: The vacuum case
• Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
• Study of the Inflationary Spectrum in the Presence of Quantum Gravity Corrections
• Swampland conjectures in hybrid metric-Palatini gravity
• Cosmological Structure Problem of the Pre-Big Bang Scenario
• Early Universe with modified scalar-tensor theory of gravity
• Minimal plateau inflationary cosmologies and constraints from reheating
• Identification of perturbation modes and controversies in ekpyrotic perturbations
• A Non-minimally Coupled Potential for Inflation and Dark Energy after Planck 2015: A Comprehensive Study
• Asymptotically Safe Non-Minimal Inflation
• Cosmic microwave background with Brans-Dicke Gravity: I. Covariant Formulation
• Curvature and Entropy Perturbations in Generalized Gravity
• Linearization of a warped $f(R)$ theory in the higher-order frame
• Are stealth scalar fields stable?
• Singularities in scalar-tensor gravity
• Manifestly Gauge Invariant Perturbations of Scalar-Tensor Theories of Gravity
• Inflation and Scale-invariant $R^2$-Gravity
• Gauge Issues in Extended Gravity and f(R) Cosmology
• Non-minimally coupled hybrid inflation
• Cosmological Perturbation Analysis in a Scale Invariant Model of Gravity
• 1/R Correction to Gravity in the Early Universe
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• On the initial conditions of scalar and tensor fluctuations in $f(R,\varphi )$ gravity
• Perturbations in Regularized Lovelock Gravity
• The Trans-Planckian Censorship Conjecture in different frameworks of viable inflation
• Dynamical study of the hyperextended scalar-tensor theory in the empty Bianchi type I model
• Bouncing and collapsing universes dual to late-time cosmological models
• Gauge-invariant gravitational wave modes in pre-big bang cosmology
• The Origin of Structures in Generalized Gravity
• Super-horizon effects on the gauge invariant effective energy density in f(R) gravity
• Conformally coupled inflation
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity
• Stealth metastable state of scalar-tensor thermodynamics