QUANTUM FLUCTUATIONS NEAR THE CLASSICAL SPACE-TIME SINGULARITY

被引:20
作者
NARLIKAR, JV
机构
[1] Tata Institute of Fundamental Research, Bombay
关键词
D O I
10.1007/BF00756752
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The method of path integration is used to study the effects of quantum fluctuations in the space-time geometry near the classical singularity of general relativity. It is shown that in certain special cases explicit Feynman propagators can be constructed which enable us to evaluate these fluctuations quantitatively. The cases discussed are (i) the gravitational collapse of a uniform dust ball, (ii) the Friedmann cosmologies, (iii) the axisymmetric Bianchi type I cosmological model, and (iv) the general anisotropic Bianchi type I cosmological model. In all cases discussed here the quantum uncertainty grows to infinity as the classical space-time singularity is approached. In this wider regime of quantum gravitation nonsingular solutions can occur with finite probabilities. © 1979 Plenum Publishing Corporation.
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页码:883 / 896
页数:14
相关论文
共 12 条
[1]  
BATEMAN H, 1954, HIGHER TRANSCENDENTA, V1, P163
[2]   QUANTUM THEORY OF GRAVITY .3. APPLICATIONS OF COVARIANT THEORY [J].
DEWITT, BS .
PHYSICAL REVIEW, 1967, 162 (05) :1239-+
[3]  
DEWITT C, 1976, ANN PHYS, V97, P307
[4]  
Feynman R.P., 1965, QUANTUM MECH PATH IN
[5]   BLACK-HOLE EXPLOSIONS [J].
HAWKING, SW .
NATURE, 1974, 248 (5443) :30-31
[6]  
HAWKING SW, 1977, PHYS REV D, V15, P2752
[7]  
Hawking SW., 1973, CAMBRIDGE MONOGRAPHS
[8]   EFFECT OF QUANTUM CONDITIONS IN A FRIEDMANN COSMOLOGY [J].
HOYLE, F ;
NARLIKAR, JV .
NATURE, 1970, 228 (5271) :544-&
[9]  
Isham C. J., 1975, QUANT GRAV OXF S CHI
[10]  
MACCALLUM MAH, 1975, QUANTUM GRAVITY OXFO, P174