Abstract
We discuss whether an appropriately defined dimensionless scalar function might be an acceptable candidate for the gravitational entropy, by explicitly considering Szekeres and Bianchi type VI h models that admit an isotropic singularity. We also briefly discuss other possible gravitational entropy functions, including an appropriate measure of the velocity dependent Bel-Robinson tensor.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anguige, K. and Tod, K. P. (1999). Annals of Physics 276, 257.
Barrow, J. D. (1978). Nature 272, 211.
Carr, B. J. and Coley, A. A. (1999). Classical and Quantum Gravity 16, R13, and references therein.
Coley, A. A. (2002a). Physical Review D 66, 023512.
Coley, A. A. (2002b). Classical and Quantum Gravity 19, L45.
Coley, A. A., He, Y., and Lim, W. C. (2004). Classical and Quantum Gravity 21, 1311.
Goode, S. W., Coley, A. A., and Waingwright, J. (1992). Classical Quantum Grav. 9, 445.
Goode, S. W., Coley, A. A., and Wainwright, J. (1992). Classical and Quantum Gravity 9, 445.
Goode, S. W. and Wainwright, J. (1982a). Physical Review D 26, 3315.
Goode, S. W. and Wainwright, J. (1982b). Monthly Notices of the Royal Astronomical Society 198, 83.
Goode, S. W. and Wainwright, J. (1985). Classical and Quantum Gravity 2, 99.
Kolb, E. W. and Turner, M. S. (1990). The Early Universe, Wesley, Addison.
Pelavas, N. and Lake, K. (1998). gr-qc/9811085 version 1.
Pelavas, N. and Lake, K. (2000). Physical Review D 62, 044009.
Penrose, R. (1979). In General Relativity, An Einstein Centenary Survey, S. W. Hawking and W.Israeleds. Cambridge University Press.
Stephani, H., Kramer, D., MacCallum, M., and Herlt, E. (2003). Exact Solutions to Einstein’s Field Equations, Second Edition, Cambridge University Press.
Tod, P. (1990). Classical and Quantum Gravity 7, L13.
Wainwright, J. and Anderson, P. J. (1984). General Relativity and Gravitation 16 (7), 609.
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS: 04.20.-q 95.30.Sf 98.80.Jk
Rights and permissions
About this article
Cite this article
Pelavas, N., Coley, A. Gravitational Entropy in Cosmological Models. Int J Theor Phys 45, 1258–1266 (2006). https://doi.org/10.1007/s10773-006-9124-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-006-9124-1