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arXiv · 2103.03925

Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories

Yiqi Xie·Jun Zhang·Hector O. Silva·Claudia de Rham·Helvi Witek·Nicolas Yunes
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Abstract

The metric of a spacetime can be greatly simplified if the spacetime is circular. We prove that in generic effective theories of gravity, the spacetime of a stationary, axisymmetric and asymptotically flat solution must be circular if the solution can be obtained perturbatively from a solution in the general relativity limit. This result applies to a broad class of gravitational theories that include arbitrary scalars and vectors in their light sector, so long as their nonstandard kinetic terms and nonmininal couplings to gravity are treated perturbatively.

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Yiqi Xie, Jun Zhang, Hector O. Silva, Claudia de Rham, Helvi Witek, Nicolas Yunes. 2021-06-18. Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories. https://doi.org/10.1103/physrevlett.126.241104

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