HAMILTON-JACOBI EQUATION FOR BRANS-DICKE THEORY AND ITS LONG-WAVELENGTH SOLUTION

被引:24
作者
SODA, J [1 ]
ISHIHARA, H [1 ]
IGUCHI, O [1 ]
机构
[1] TOKYO INST TECHNOL,DEPT PHYS,TOKYO 152,JAPAN
来源
PROGRESS OF THEORETICAL PHYSICS | 1995年 / 94卷 / 05期
关键词
D O I
10.1143/PTP.94.781
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Hamilton-Jacobi equation for the 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 in a manner similar to those of space-time.
引用
收藏
页码:781 / 793
页数:13
相关论文
共 15 条
[1]   MACHS PRINCIPLE AND A RELATIVISTIC THEORY OF GRAVITATION [J].
BRANS, C ;
DICKE, RH .
PHYSICAL REVIEW, 1961, 124 (03) :925-&
[2]  
CHIBA T, 1995, KUNS1277 PREPR
[3]   GROWTH OR DECAY OF COSMOLOGICAL INHOMOGENEITIES AS A FUNCTION OF THEIR EQUATION OF STATE [J].
COMER, GL ;
DERUELLE, N ;
LANGLOIS, D ;
PARRY, J .
PHYSICAL REVIEW D, 1994, 49 (06) :2759-2768
[4]   APPLYING THE ZELDOVICH APPROXIMATION TO GENERAL-RELATIVITY [J].
CROUDACE, KM ;
PARRY, J ;
SALOPEK, DS ;
STEWART, JM .
ASTROPHYSICAL JOURNAL, 1994, 423 (01) :22-32
[5]   THE STRING DILATON AND A LEAST COUPLING PRINCIPLE [J].
DAMOUR, T ;
POLYAKOV, AM .
NUCLEAR PHYSICS B, 1994, 423 (2-3) :532-558
[6]   CONDITIONS FOR INFLATION IN AN INITIALLY INHOMOGENEOUS UNIVERSE [J].
DERUELLE, N ;
GOLDWIRTH, DS .
PHYSICAL REVIEW D, 1995, 51 (04) :1563-1568
[7]   INDUCED VIOLATION OF WEAK EQUIVALENCE PRINCIPLE IN THE BRANS-DICKE THEORY [J].
FUJII, Y .
MODERN PHYSICS LETTERS A, 1994, 9 (39) :3685-3690
[8]   FLUCTUATIONS OF THE GRAVITATIONAL CONSTANT IN THE INFLATIONARY BRANS-DICKE COSMOLOGY [J].
GARCIABELLIDO, J ;
LINDE, A ;
LINDE, D .
PHYSICAL REVIEW D, 1994, 50 (02) :730-750
[9]   INVESTIGATIONS IN RELATIVISTIC COSMOLOGY [J].
LIFSHITZ, EM ;
KHALATNIKOV, IM .
ADVANCES IN PHYSICS, 1963, 12 (46) :185-249
[10]  
NAMBU Y, 1994, DPNU9446 PREPR