Quantum fluctuations of Cosmological Perturbations in Generalized Gravity

Abstract

Recently, we presented a unified way of analysing classical cosmological perturbation in generalized gravity theories. In this paper, we derive the perturbation spectrums generated from quantum fluctuations again in unified forms. We consider a situation where an accelerated expansion phase of the early universe is realized in a particular generic phase of the generalized gravity. We take the perturbative semiclassical approximation which treats the perturbed parts of the metric and matter fields as quantum mechanical operators. Our generic results include the conventional power-law and exponential inflations in Einstein's gravity as special cases.

5 pages, revtex, no figures

References in corpus (7)

• On Physical Equivalence between Nonlinear Gravity Theories
• Quantum Fluctuations, Decoherence of the Mean Field, and Structure Formation in the Early Universe
• Metric Perturbations in Dilaton-Driven Inflation
• Evolution of Structures in Generalized Gravity Theories
• Unified Analysis of Cosmological Perturbations in Generalized Gravity
• The Origin of Time Asymmetry
• Hypersurface-Invariant Approach to Cosmological Perturbations

Cited by in corpus (48)

• f(R) Theories Of Gravity
• f(R) theories
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• The stability of modified gravity models
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• f(R) gravity theory and CMBR constraints
• Evolution of cosmological perturbations in non-singular string cosmologies
• The phase space view of f(R) gravity
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Planck constraints on single-field inflation
• Inflationary spectra in generalized gravity: Unified forms
• Modified gravity and the stability of de Sitter space
• An Extended Matter Bounce Scenario: current status and challenges
• Super-renormalizable or finite completion of the Starobinsky theory
• Inflationary Perturbations in Palatini Generalised Gravity
• Imperfect fluid description of modified gravities
• A crucial ingredient of inflation
• Conserved cosmological structures in the one-loop superstring effective action
• Chaotic inflation in modified gravitational theories
• Inflation and Reheating in Induced Gravity
• Gravitational Wave Spectrums from Pole-like Inflations based on Generalized Gravity Theories
• Quasi-matter domination parameters in bouncing cosmologies
• Primordial black holes and scalar-induced gravitational waves from the generalized Brans-Dicke theory
• COBE constraints on inflation models with a massive non-minimal scalar field
• Exploring the NANOGrav Signal and Planet-mass Primordial Black Holes through Higgs Inflation
• Inflation and Reheating in Spontaneously Generated Gravity
• Extended quintessence, inflation, and stable de Sitter spaces
• Generalized slow-roll inflation
• Quantum Back-Reaction in Scale Invariant Induced Gravity Inflation
• Gauge invariant perturbations of Scalar-Tensor Cosmologies: The vacuum case
• Cosmological Structure Problem of the Pre-Big Bang Scenario
• Early Universe with modified scalar-tensor theory of gravity
• Brans-Dicke inflation in light of the Planck 2015 data
• Quasilocal energy in modified gravity
• Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity
• Curvature and Entropy Perturbations in Generalized Gravity
• Linearization of a warped $f(R)$ theory in the higher-order frame
• Cosmological perturbations in a gravity with quadratic order curvature couplings
• Quantum gravitational corrections to the inflationary power spectra in scalar-tensor theories
• 1/R Correction to Gravity in the Early Universe
• Gauge Issues in Extended Gravity and f(R) Cosmology
• Transitioning from a bounce to $R^2$ inflation
• A quasi-matter bounce equivalent to Starobinsky inflation
• The Ricci Flow and the Early Universe
• Turnaround radius in scalar-tensor gravity with quasilocal mass
• The Trans-Planckian Censorship Conjecture in different frameworks of viable inflation
• Stealth metastable state of scalar-tensor thermodynamics
• Conformally coupled inflation