Quantum stationary geometries and avoidance of singularities

Details Quantum stationary geometries and avoidance of singularities Quantum stationary geometries and avoidance of singularities

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..149p&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, March 11, 1984, p. 149-155.

Mathematics

3

Cosmology, Gravitation Theory, Quantum Theory, Singularity (Mathematics), Steady State, Unified Field Theory, Astronomical Models, Big Bang Cosmology, Equations Of State, Geometry, Integral Equations, Scalars, Space-Time Functions

Scientific paper

A recent approach to quantum gravity leading to the concept of quantum stationary geometries is reviewed. A stationary states equation is presented for: (a) homogeneous relativistic cosmologies of the various Bianchi types; (b) a Friedmann universe filled with a massless scalar field. The equation is solved near the singularity to show that stationary states avoid the singularity. The result is discussed and compared with other approaches.

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