Prize-Winning Essays for the Annual Essay Competition of the Gravity Research Foundation for the Year 2005No Access

CLASSICAL AND QUANTUM GENERAL RELATIVITY: A NEW PARADIGM

RODOLFO GAMBINI

Instituto de Física, Facultad de Ciencias, Iguá 4225, esq. Mataojo, Montevideo, Uruguay

Search for more papers by this author

and

JORGE PULLIN

Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA

Search for more papers by this author

https://doi.org/10.1142/S0218271805007917Cited by:5 (Source: Crossref)

Abstract

We argue that recent developments in discretizations of classical and quantum gravity imply a new paradigm for doing research in these areas. The paradigm consists in discretizing the theory in such a way that the resulting discrete theory has no constraints. This solves many of the hard conceptual problems of quantum gravity. It also appears as a useful tool in some numerical simulations of interest in classical relativity. We outline some of the salient aspects and results of this new framework.

This essay was awarded the Fifth Prize in the 2005 Essay Competition of the Gravity Research Foundation. It is a republication of Gen. Rel. Grav.37, 1689–1694 (2005).

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

M. Holstet al., Phys. Rev. D 70, 084017 (2004). Crossref, Web of Science, Google Scholar
P. Renteln and L. Smolin, Class. Quantum Grav. 6, 275 (1989). Crossref, Web of Science, ADS, Google Scholar
T. Thiemann, Class. Quantum Grav. 15, 839 (1998). Crossref, Web of Science, ADS, Google Scholar
H. Nicolai, K. Peeters and M. Zamaklar, arXiv:hep-th/0501114 . Google Scholar
R. Gambini and J. Pullin, Phys. Rev. Lett. 90, 021301 (2003). Crossref, Web of Science, Google Scholar
C. Di Bartolo, R. Gambini and J. Pullin, Class. Quantum Grav. 19, 5275 (2002). Crossref, Web of Science, Google Scholar
J. Marsden and M. West, Acta Numerica 10, 357 (2001). Crossref, Google Scholar
R. Gambini, M. Ponce and J. Pullin, arXiv:gr-qc/0505043 . Google Scholar
R. Gambini , R. A. Porto and J. Pullin , Recent Developments in Gravity , eds. K. Kokkotas and N. Stergioulas ( World Scientific , Singapore , 2003 ) . Google Scholar
D. N. Page and W. K. Wootters, Phys. Rev. D 27, 2885 (1983). Crossref, Web of Science, Google Scholar
W. Wootters, Int. J. Theor. Phys. 23, 701 (1984). Crossref, Web of Science, Google Scholar
D. N. Page , Physical Origins of Time Asymmetry , eds. J. Halliwell , J. Perez-Mercader and W. Zurek ( Cambridge University Press , Cambridge UK , 1992 ) . Google Scholar
K. Kuchař , Time and interpretations of quantum gravity , Proc. 4th Canadian Conf. on General Relativity and Relativistic Astrophysics , eds. G. Kunstatter , D. Vincent and J. Williams ( World Scientific , Singapore , 1992 ) , http://www.phys.lsu.edu/faculty/pullin/kvk.pdf . Google Scholar
R. Gambini, R. Porto and J. Pullin, New J. Phys. 6, 45 (2004). Crossref, Web of Science, Google Scholar
R. Bonifacio, Nuovo Cimento B 114, 473 (1999). ADS, Google Scholar
I. L. Egusquiza, L. J. Garay and J. M. Raya, Phys. Rev. A 59, 3236 (1999). Crossref, Web of Science, ADS, Google Scholar
G. J. Milburn, Phys. Rev. A 44, 5401 (1991). Crossref, Web of Science, ADS, Google Scholar
E. Wigner, Rev. Mod. Phys. 29, 255 (1957). Crossref, Web of Science, ADS, Google Scholar
G. Amelino-Camelia, Mod. Phys. Lett. A 9, 3415 (1994). Link, Web of Science, ADS, Google Scholar
Y. J. Ng and H. van Dam, Ann. N.Y. Acad. Sci. 755, 579 (1995). Crossref, Web of Science, ADS, Google Scholar
Y. J. Ng and H. van Dam, Mod. Phys. Lett. A 9, 335 (1994). Web of Science, ADS, Google Scholar
R. Gambini, R. Porto and J. Pullin, quant-ph/0507262 . Google Scholar
R. Gambini, R. A. Porto and J. Pullin, Phys. Rev. Lett. 93, 240401 (2004). Crossref, Web of Science, Google Scholar
R. Gambini and J. Pullin, Class. Quantum Grav. 20, 3341 (2003). Crossref, Web of Science, ADS, Google Scholar
R. Gambini and J. Pullin, Int. J. Mod. Phys. D 12, 1775 (2003). Link, Web of Science, ADS, Google Scholar
L. Smolin, Class. Quantum Grav. 9, 173 (1992). Crossref, Web of Science, ADS, Google Scholar
R. Gambini and J. Pullin, Phys. Rev. Lett. 94, 101302 (2005). Crossref, Web of Science, Google Scholar