https://doi.org/10.1140/epjc/s10052-022-10835-7
Regular Article - Theoretical Physics
Some 3-dimensional maximally symmetric solutions of Einstein-aether theory
Department of Physics, East China Normal University, 200241, Shanghai, China
Received:
1
June
2022
Accepted:
23
September
2022
Published online:
8
October
2022
Working in isotropic coordinates, we get some maximally symmetric nonrotating solutions of the Einstein-aether theory in 
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 -dimensional de Sitter or anti-de Sitter spacetime, but in some solutions the aether field cannot be written in closed forms.
© The Author(s) 2022
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