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Stationary Lifshitz black holes of R²-corrected gravity theory

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arxiv 1109.4721 v2 pith:QPGZDJGY submitted 2011-09-22 hep-th gr-qc

Stationary Lifshitz black holes of R²-corrected gravity theory

classification hep-th gr-qc
keywords blackholeslifshitzparameterssolutionsstationarytheoryaddition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this short note, I present a generalization of a set of static D-dimensional (D >= 3) Lifshitz black holes, which are solutions of the gravitational model obtained by amending the cosmological Einstein theory with the addition of only the curvature-scalar-squared term and that are described by two parameters, to a more general class of exact, analytic solutions that involves an additional parameter which now renders them stationary. In the special D=3 and the dynamical exponent z=1 case, the parameters can be adjusted so that the solution becomes identical to the celebrated BTZ black hole metric.

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  1. Revisiting Lifshitz-type solutions in $R^2$-corrected gravity

    hep-th 2025-11 conditional novelty 5.0

    Exact Lifshitz-type black holes and branes, including rotating and extremal cases, are constructed in R²-corrected gravity at the critical point in arbitrary dimensions.