2000/09/08 by Luis O. Pimentel, Pimentel, Luis O., Cesar Mora +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0009027
22 pages, LaTeX file
arxiv created 2000/09/08 · arxiv updated 2009/11/30
The Wheeler-DeWitt equation is solved for the Bergmann-Wagoner scalar-tensor gravitational theory in the case of Friedmann-Robertson- Walker cosmological model. We present solutions for several cosmological functions: i) λ(ϕ)=0, ii) λ(ϕ)=3Λ0ϕand iii) a more complex λ(ϕ), that depends on the choice of the coupling function, considering closed, flat and hyperbolic Friedmann universes (k=1, 0, -1). In the first two cases we show particular quantum wormhole solutions. Also, classical solutions are considered for some scalar-tensor theories, and we study the third quantization of some minisuperspace models.