Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-02-04
Phys.Rev.D60:024008,1999
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 16 pages, a few misprints are corrected
Scientific paper
10.1103/PhysRevD.60.024008
Using s-wave and large N approximation the one-loop effective action for 2d dilaton coupled scalars and spinors which are obtained by spherical reduction of 4d minimal matter is found. Quantum effective equations for reduced Einstein gravity are written. Their analytical solutions corresponding to 4d Kantowski-Sachs (KS) Universe are presented. For quantum-corrected Einstein gravity we get non-singular KS cosmology which represents 1) quantum-corrected KS cosmology which existed on classical level or 2)purely quantum solution which had no classical limit. The analogy with Nariai BH is briefly mentioned. For purely induced gravity (no Einstein term) we found general analytical solution but all KS cosmologies under discussion are singular. The corresponding equations of motion are reformulated as classical mechanics problem of motion of unit mass particle in some potential V.
Nojiri Shin'ich
Obregon Octavio
Odintsov Sergei D.
Osetrin Konstantin E.
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