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Phys. Rev. D 47, 3235–3244 (1993)

Cosmological fluids as time variables in general relativity

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D. S. Salopek and J. M. Stewart
University of Cambridge, Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, England

Received 4 December 1992; published in the issue dated 15 April 1993

The use of potentials describing perfect fluids illuminates the role of time in general relativity. Using Hamilton-Jacobi methods, one can find solutions for inhomogeneous situations of interest to cosmology without making an explicit time choice until the very end of the calculation. We compute exact general solutions of long-wavelength matter and radiation interacting with gravity. Hamilton-Jacobi methods can describe adiabatic and isothermal fluctuations as well as the scalar, vector, and tensor modes.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.47.3235
DOI:
10.1103/PhysRevD.47.3235
PACS:
98.80.Hw