Rainich conditions in (2 + 1)-dimensional gravity

DOI10.1063/1.4974091zbMath1359.83017arXiv1611.04143OpenAlexW2551622817WikidataQ125604973 ScholiaQ125604973MaRDI QIDQ2963293

D. S. Krongos, Charles G. Torre

Publication date: 13 February 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04143

zbMATH Keywords

topologically massive gravityelectromagnetic fieldEinstein-Maxwell equationsRainich conditions\((2 + 1)\)-dimensional gravitygeometrization conditionsgravity coupled to a scalar fieldother theories of \((2 + 1)\)-dimensional gravityplane-fronted wave solutions

Mathematics Subject Classification ID

Black holes (83C57) Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Electromagnetic theory (general) (78A25) Analogues of general relativity in lower dimensions (83C80) Gravitational waves (83C35) Einstein-Maxwell equations (83C22)

Cites Work

• Classical Physics as geometry. Gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space
• Republication of: The dynamics of general relativity
• New symbolic tools for differential geometry, gravitation, and field theory
• Black hole in three-dimensional spacetime
• The spacetime geometry of a null electromagnetic field
• Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank
• Geometrization conditions for perfect fluids, scalar fields, and electromagnetic fields

This page was built for publication: Rainich conditions in (2 + 1)-dimensional gravity