Summary
The quantum effects near singularity are studied here within a general space-time framework. A second-order nonlinear differential equation governs these effects in the vicinity of a strong-curvature singularity. The possibility of singularity avoidance is examined. It is seen that nonclassical, nonsingular states can occur with finite probability in the present scenario.
References
See, for example, papers onQuantum Effects in Cosmology inQuantum Gravity, edited byM. A. Markov andP. C. West (Plenum Press, New York, N.Y., 1984);J. V. Narlikar:Mon. Not. R. Astron. Soc.,183, 159 (1978).
An earlier reference in this connection isB. DeWitt:Phys. Rev.,160, 1113 (1967).
P. S. Joshi andS. S. Joshi:Gen. Rel. Grav.,19, 1033 (1987);P. S. Joshi andS. S. Joshi:Phys. Lett. A,121, 334 (1987);125, 181 (1987) and references mentioned therein.
V. Belinskii, E. Lifschitz andI. Khalatnikov:Sov. Phys. JETP,35, 838 (1972).
P. S. Joshi andS. S. Joshi: TIFR preprint (1988).
A. Messiah:Quantum Mechanics, Vol.1 (North Holland Publishers, Amsterdam, 1973).
C. J. S. Clarke andA. Królak:J. Geom. Phys.,2, 127 (1986).
J. K. Beem:Commun. Math. Phys.,49, 179 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Joshi, P.S. On singularity avoidance in quantum gravity. Nuov Cim B 105, 101–105 (1990). https://doi.org/10.1007/BF02723557
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02723557