Some 3-dimensional maximally symmetric solutions of Einstein-aether theory
Abstract Working in isotropic coordinates, we get some maximally symmetric nonrotating solutions of the Einstein-aether theory in $$2+1$$ 2 + 1 dimensions, all in analytical forms. Curvature singularities are not found in the Ricci and Kretschmann scalars, while conical singularities are avoidable b...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10835-7 |
| Summary: | Abstract Working in isotropic coordinates, we get some maximally symmetric nonrotating solutions of the Einstein-aether theory in $$2+1$$ 2 + 1 dimensions, all in analytical forms. Curvature singularities are not found in the Ricci and Kretschmann scalars, while conical singularities are avoidable by fixing some integration constants. In Schwarzschild type coordinates, most line elements become the metric of a black hole or a massive particle in the $$2+1$$ 2 + 1 -dimensional de Sitter or anti-de Sitter spacetime, but in some solutions the aether field cannot be written in closed forms. |
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| ISSN: | 1434-6052 |