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Phys. Rev. D 38, 3314–3317 (1988)

Weyl tensor and gravitational entropy

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Viqar Husain
Department of Physics, Yale University, New Haven, Connecticut 06520

Received 9 May 1988; published in the issue dated 15 November 1988

There is a conjecture due to Penrose that there may be a relation between the Weyl curvature tensor and gravitational entropy. In this paper, this conjecture is studied in the context of a specific model, the Gowdy cosmology. The square of the curvature is calculated as an operator and its expectation values in states of clumped and unclumped gravitons are calculated. The results indicate that the curvature contains information about the entropy of the gravitational field.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.38.3314
DOI:
10.1103/PhysRevD.38.3314
PACS:
04.60.+n