A Weyl Entropy of Pure Spacetime Regions

作者: Francesco Belgiorno , Giovanni Catino

DOI: 10.1088/1361-6382/ABB958

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摘要: We focus on the Penrose's Weyl Curvature Hypothesis in a general framework encompassing many specific models discussed literature. introduce candidate density for entropy pure spacetime perfect fluid regions and show that it is monotonically increasing time under very assumptions. Then we consider behavior of compact regions, which shown to be monotone as well suitable hypotheses, also maximal correspondence with vacuum static metrics. The minimal case too.

参考文章(25)
Roger Penrose, On the second law of thermodynamics Journal of Statistical Physics. ,vol. 77, pp. 217- 221 ,(1994) , 10.1007/BF02186840
S W Goode, A A Coley, J Wainwright, The isotropic singularity in cosmology Classical and Quantum Gravity. ,vol. 9, pp. 445- 455 ,(1992) , 10.1088/0264-9381/9/2/010
W B Bonnor, The electric and magnetic Weyl tensors Classical and Quantum Gravity. ,vol. 12, pp. 499- 502 ,(1995) , 10.1088/0264-9381/12/2/018
C B G McIntosh, R Arianrhod, S T Wade, C Hoenselaers, Electric and magnetic Weyl tensors: classification and analysis Classical and Quantum Gravity. ,vol. 11, pp. 1555- 1564 ,(1994) , 10.1088/0264-9381/11/6/019
Jacob D. Bekenstein, Universal upper bound on the entropy-to-energy ratio for bounded systems Physical Review D. ,vol. 23, pp. 287- 298 ,(1981) , 10.1103/PHYSREVD.23.287
Yvonne Choquet-Bruhat, Robert Geroch, Global aspects of the Cauchy problem in general relativity Communications in Mathematical Physics. ,vol. 14, pp. 329- 335 ,(1969) , 10.1007/BF01645389
Stephen W. Hawking, George Francis Rayner Ellis, The Large Scale Structure of Space-Time ,(1973)
Tony Rothman, Peter Anninos, Phase space approach to the gravitational arrow of time Physical Review D. ,vol. 55, pp. 1948- 1963 ,(1997) , 10.1103/PHYSREVD.55.1948
S W Goode, J Wainwright, Isotropic singularities in cosmological models Classical and Quantum Gravity. ,vol. 2, pp. 99- 115 ,(1985) , 10.1088/0264-9381/2/1/010
J. Wainwright, P. J. Anderson, Isotropic singularities and isotropization in a class of Bianchi type-VI h cosmologies General Relativity and Gravitation. ,vol. 16, pp. 609- 624 ,(1984) , 10.1007/BF00767856