Characteristics of Cosmic Time

Abstract

The nature of cosmic time is illuminated using Hamilton-Jacobi theory for general relativity. For problems of interest to cosmology, one may solve for the phase of the wavefunctional by using a line integral in superspace. Each contour of integration corresponds to a particular choice of time hypersurface, and each yields the same answer. In this way, one can construct a covariant formalism where all time hypersurfaces are treated on an equal footing. Using the method of characteristics, explicit solutions for an inflationary epoch with several scalar fields are given. The theoretical predictions of double inflation are compared with recent galaxy data and large angle microwave background anisotropies.

20 pages, RevTex using Latex 2.09, Submitted to Physical Review D Two figures included in file

References in corpus (11)

• Reconstructing the linear power spectrum of cosmological mass fluctuations
• Cosmic Temperature Fluctuations from Two Years of COBE DMR Observations
• Reconstructing the Inflaton Potential---in Principle and in Practice
• Quantum scale of inflation and particle physics of the early universe
• Solving the Hamilton-Jacobi Equation for General Relativity
• The Origin of Time Asymmetry
• The Zel'dovich Approximation and the Relativistic Hamilton-Jacobi Equation
• Confrontation of Double-Inflationary Models with Observations
• Path Integral Quantization of Cosmological Perturbations
• Hypersurface-Invariant Approach to Cosmological Perturbations
• Large--Scale Angular Correlations in CDM Models

Cited by in corpus (21)

• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• A new approach to the evolution of cosmological perturbations on large scales
• Adiabatic and entropy perturbations from inflation
• Dynamics of Assisted Inflation
• Constraints from Inflation on Scalar-Tensor Gravity Theories
• Evolution of fNL to the adiabatic limit
• Cosmological perturbations in SFT inspired non-local scalar field models
• Large N Cosmology
• Large trispectrum in two-field slow-roll inflation
• Solutions of gauge invariant cosmological perturbations in long-wavelength limit
• The Amplitude of Dark Energy Perturbations
• Evolution of the curvature perturbations during warm inflation
• Delta-N formalism for the evolution of the curvature perturbations in generalized multi-field inflation
• Evolution of curvature perturbation in generalized gravity theories
• Remote Inflation as hybrid-like sneutrino/MSSM inflation
• Coordinate-free Solutions for Cosmological Superspace
• Hamilton-Jacobi Solutions for Strongly-Coupled Gravity and Matter
• Initial Hypersurface Formulation: Hamilton-Jacobi Theory for Strongly Coupled Gravitational Systems
• Solving the Hamilton-Jacobi equation for gravitationally interacting electromagnetic and scalar fields
• Testing Two-Field Inflation
• Observable predictions of generalised inflationary scenarios