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Long-wavelength iteration scheme and scalar-tensor gravity
Phys. Rev. D 55, 3497 – Published 15 March, 1997
DOI: https://doi.org/10.1103/PhysRevD.55.3497
Abstract
Inhomogeneous and anisotropic cosmologies are modeled within the framework of scalar-tensor gravity theories. The inhomogeneities are calculated to third order in the so-called long-wavelength iteration scheme. We write the solutions for general scalar coupling and discuss what happens to the third-order terms when the scalar-tensor solution approaches at first order the general relativistic one. We work out in some detail the case of Brans-Dicke coupling and determine the conditions for which the anisotropy and inhomogeneity decay as time increases. The matter is taken to be that of perfect fluid with a baryotropic equation of state.
References (24)
- T. Damour and K. Nordtvedt, Phys. Rev. Lett.70, 2217 (1993); Phys. Rev. D48, 3436 (1993).
- J. Garcia-Bellido and M. Quiros, Phys. Lett. B243, 45 (1990).
- Jacob D. Bekenstein and Amnon Meisels, Phys. Rev. D18, 4378 (1978).
- Jacob D. Bekenstein, Phys. Rev. D15, 1458 (1977).
- E. M. Lifschitz and I. M. Khalatnikov, Adv. Phys.12, 185 (1963).
- K. Tomita, Prog. Theor. Phys.48, 1503 (1972); 54, 185 (1975).
- K. M. Croudace, J. Parry, D. S. Salopek, and J. M. Stewart, Astrophys. J.423, 22 (1994).
- G. L. Comer, N. Deruelle, D. Langlois, and J. Parry, Phys. Rev. D49, 2759 (1994).
- N. Deruelle and D. Langlois, Phys. Rev. D52, 2007 (1995).
- N. Deruelle and D. Goldwirth, Phys. Rev. D51, 1563 (1995).
- K. Tomita and N. Deruelle, Phys. Rev. D50, 7216 (1994).
- A. Taruya and Y. Nambu, Prog. Theor. Phys.95, 295 (1996).
- T. Chiba, Gen. Relativ. Gravit.28, 1089 (1996).
- Y. Nambu and A. Taruya, Class. Quantum Grav.13, 705 (1996).
- Jiro Soda, Hideki Ishihara, and Osamu Iguchi, Prog. Theor. Phys.94, 781 (1995).
- J. Barrow and J. P. Mimoso, Phys. Rev. D50, 3746 (1994).
- José P. Mimoso and David Wands, Phys. Rev. D52, 5612 (1995).
- Hidekazu Nariai, Prog. Theor. Phys.40, 49 (1968); 47, 1824 (1972); V. A. Ruban, Sov. Phys. JETP45, 629 (1977).
- L. E. Gurevich, A. M. Finkelstein, and V. A. Ruban, Astrophys. Space Sci.22, 231 (1973); D. Lorenz-Petzold, 98, 249 (1984).
- D. Lorentz-Petzold, Astrophys. Space Sci.98, 249 (1984).
- J. O’Hanlon and B. O. J. Tupper, Nuovo Cimento 7, 305 (1972).
- Steven Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972), Chap. 16, pp. 619–631.
- K. Nordvedt, Astrophys. J.161, 1059 (1970).
- A. Serna and J. M. Alimi, Phys. Rev. D53, 3074 (1996).