Mathematics – Logic
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.3628k&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 10, 15 May 1992, pp.3628-3635
Mathematics
Logic
58
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity
Scientific paper
Using light-cone variables, we show that R2 gravity with dynamical torsion in two dimensions is one of the rare field theories whose complete classical solution in closed form can be obtained. It fulfils an invariant relation between the cosmological constant, the curvature scalar, and the scalar formed by the torsion tensor. We conjecture that this relation, interpreted as a local conservation law, is closely connected to the integrability of the theory. The solutions may possess a rich spectrum of singularities in curvature and torsion. Special cases, including one with nonvanishing torsion, can be used to elucidate some physical properties of the solution where by ``physical'' we imply the validity of concepts from general relativity such as measurements of distances and times and of extremal trajectories of a scalar test particle.
Kummer Wolfgang
Schwarz Dominik J.
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