Two-dimensional Poincaré gauge gravity with matter

Details Two-dimensional Poincaré gauge gravity with matter Two-dimensional Poincaré gauge gravity with matter

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..50.5072o&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 50, Issue 8, 15 October 1994, pp.5072-5086

Physics

8

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Canonical Formalism, Lagrangians, And Variational Principles, Exact Solutions

Scientific paper

Two-dimensional Poincaré gauge gravity is known to be completely integrable in vacuum. Interaction with matter fields usually destroys the integrability. We give a coordinate- and gauge-invariant formulation of the matter-gravity dynamics for the general quadratic Poincaré gauge model. The particular cases of massless spinor and scalar field sources are analyzed in detail. Exact general solutions for the chiral boson and fermion matter field configurations are constructed. These describe the gravitational field of a black hole type and are similar to the vacuum solutions discovered earlier. Nonchiral solutions are investigated with the help of numerical methods.

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