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• W3124678220 startingPage "075023" @default.
• W3124678220 abstract "Abstract We use the geometric mean to parametrize metrics in the Hassan–Rosen ghost-free bimetric theory and pose the initial-value problem. The geometric mean of two positive definite symmetric matrices is a well-established mathematical notion which can be under certain conditions extended to quadratic forms having the Lorentzian signature, say metrics g and f . In such a case, the null cone of the geometric mean metric h is in the middle of the null cones of g and f appearing as a geometric average of a bimetric spacetime. The parametrization based on h ensures the reality of the square root in the ghost-free bimetric interaction potential. Subsequently, we derive the standard n + 1 decomposition in a frame adapted to the geometric mean and state the initial-value problem, that is, the evolution equations, the constraints, and the preservation of the constraints equation." @default.
• W3124678220 created "2021-02-01" @default.
• W3124678220 creator A5033037962 @default.
• W3124678220 date "2021-03-23" @default.
• W3124678220 modified "2023-10-18" @default.
• W3124678220 title "Geometric mean of bimetric spacetimes" @default.
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• W3124678220 doi "https://doi.org/10.1088/1361-6382/abdf28" @default.
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