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2011

On horizon structure of bimetric spacetimes

Deffayet, Cédric, Jacobson, Ted

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We discuss the structure of horizons in spacetimes with two metrics, with applications to the Vainshtein mechanism and other examples.

We show, without using the field equations, that if the two metrics are static, spherically symmetric, nonsingular, and diagonal in a common coordinate system, then a Killing horizon for one must also be a Killing horizon for the other.
We then generalize this result to the axisymmetric case.
We also show that the surface gravities must agree if the bifurcation surface in one spacetime lies smoothly in the interior of the spacetime of the other metric.

On horizon structure of bimetric spacetimes · Around

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