Gravitational interactions in 2+1 dimensions

Dereli, Tekin and Tucker, Robin (1988) Gravitational interactions in 2+1 dimensions. Classical and Quantum Gravity, 5 (7). pp. 951-959. ISSN 0264-9381

Abstract

Modifications to Einstein's vacuum equations for gravitation in 2+1 dimensions are studied. The addition of the Schouten-Eisenhart 2-forms to the field equations admits gravitational wave solutions although no non-trivial static rotationally symmetric metrics exist. Higher-order derivative models for the metric are discussed together with a 2+1 Brans-Dicke theory. The latter is solved for a static metric exhibiting singularities.