TL;DR
This paper explores 3D gravity theories combining Einstein-Hilbert and Chern-Simons terms, presenting new exact solutions including gravitational waves and cosmological models with various matter sources.
Contribution
It introduces new exact solutions in 3D gravity with Chern-Simons terms, expanding understanding of gravitational phenomena in lower dimensions.
Findings
Derived solutions for gravitational fields with matter sources
Analyzed plane-fronted gravitational waves with Maxwell fields
Constructed cosmological models with ideal fluid sources
Abstract
We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the corresponding coupling constants vanish, we are left with the purely Einstein theory of gravity. We obtain new exact solutions for the gravitational field equations with the nontrivial material sources. Special attention is paid to plane-fronted gravitational waves (in case of the Maxwell field source) and to the circularly symmetric as well as the anisotropic cosmological solutions which arise for the ideal fluid matter source.
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