1995/08/23 by D. S. Salopek, Salopek, D. S.
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #astro-ph #gr-qc
paper · pdf · doi:10.48550/arxiv.astro-ph/9508101
8 pages, Latex 2.09, Fields Institute Publication: `Sixth Canadian Conference on General Relativity and Relativistic Astrophysics' Fredericton, Canada, May 25-27, 1995 One figure included in file
arxiv created 1995/08/23 · arxiv updated 2009/11/30
Hamilton-Jacobi theory provides a natural starting point for a covariant description of the gravitational field. Using a spatial gradient expansion, one may solve for the phase of the wavefunction 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 describe all time choices simultaneously. In an interesting application to cosmology, I compute large-angle microwave background anisotropies and the galaxy-galaxy correlation function associated with the scalar and tensor fluctuations of power-law inflation.