Hamilton-Jacobi Equation for Brans-Dicke Theory and Its Long-wavelength Solution

Details Hamilton-Jacobi Equation for Brans-Dicke Theory and Its Long-wavelength Solution Hamilton-Jacobi Equation for Brans-Dicke Theory and Its Long-wavelength Solution

1995-09-06

arxiv.org/abs/gr-qc/9509008v1

Prog.Theor.Phys. 94 (1995) 781-794

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17pages,standard latex

Scientific paper

10.1143/PTP.94.781

Hamilton-Jacobi equation for Brans-Dicke theory is solved by using a long-wavelength approximation. We examine the non-linear evolution of the inhomogeneities in the dust fluid case and the cosmological constant case. In the case of dust fluid, it turns out that the inhomogeneities of space-time grow. In the case of cosmological constant, the inhomogeneities decay, which is consistent with the cosmic no hair conjecture. The inhomogeneities of the density perturbation and the gravitational constant behave similarly with that of space-time.

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