Hamilton-Jacobi Equation for Brans-Dicke Theory and Its Long-Wavelength Solution | Zendy

Jiro Soda | Zendy; Hideki Ishihara | Zendy; Osamu Iguchi | Zendy

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

Author(s) -

Jiro Soda,

Hideki Ishihara,

Osamu Iguchi

Publication year - 1995

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.94.781

Subject(s) - physics , cosmological constant , wavelength , constant (computer programming) , cosmic cancer database , hamilton–jacobi equation , gravitational constant , conjecture , perturbation (astronomy) , perturbation theory (quantum mechanics) , gravitation , classical mechanics , mathematical physics , space (punctuation) , spacetime , quantum mechanics , astrophysics , linguistics , philosophy , mathematics , computer science , pure mathematics , programming language

Hamilton-Jacobi equation for Brans-Dicke theory is solved by using along-wavelength approximation. We examine the non-linear evolution of theinhomogeneities in the dust fluid case and the cosmological constant case. Inthe case of dust fluid, it turns out that the inhomogeneities of space-timegrow. In the case of cosmological constant, the inhomogeneities decay, which isconsistent with the cosmic no hair conjecture. The inhomogeneities of thedensity perturbation and the gravitational constant behave similarly with thatof space-time.Comment: 17pages,standard late

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