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Black Holes in Multi-Metric Gravity

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arxiv 2402.17835 v2 pith:OC6X6JZ6 submitted 2024-02-27 gr-qc hep-th

Kieran Wood , Paul M. Saffin , Anastasios Avgoustidis This is my paper · ORCID
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keywords gravitymassivemulti-metricsolutionstheorybigravitydimensionaldrgt
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We construct a wide class of black hole solutions to the general theory of ghost free multi-metric gravity in arbitrary spacetime dimension, extending and generalising the known results in 4-dimensional dRGT massive gravity and bigravity. The solutions are split into three generic classes based on whether the metrics can be simultaneously diagonalised - one of which does not exist in dRGT massive gravity nor bigravity, and is only possible when one has more than two interacting metric fields. We also linearise the general multi-metric theory to determine the dynamics of the massive spin-2 modes, including examples where this can be done analytically, and use the linear theory to discuss the stability of the 4-dimensional multi-Schwarzchild and multi-Kerr solutions. We explain how the instabilities that plague these solutions in dRGT massive gravity and bigravity carry across to the general multi-metric theory, touching upon ideas of dimensional deconstruction to make sense of the results.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A new look at multi-gravity and dimensional deconstruction

    hep-th 2025-01 conditional novelty 7.0 of 10

    Keeping the lapse free in deconstruction yields scalar-tensor multi-gravity, which reproduces 5D Randall-Sundrum brane cosmology equations in the continuum limit.

  2. Existence of ghost-eliminating constraints in multivielbein theory

    hep-th 2025-10 conditional novelty 6.0 of 10

    Under an equal-boost restriction and an assumed common 3+1 slicing, multivielbein theory possesses tertiary constraints that kill the ghost momenta, supporting a 2+5(N−1) mode count.

  3. Perturbations of black holes in mass-varying massive gravity

    gr-qc 2026-07 conditional novelty 5.0 of 10

    In mass-varying massive gravity, the beta=alpha^2 branch of constant-scalar Schwarzschild-(A)dS solutions has delta X=0, so tensor perturbations obey the GR equations while scalar stability depends on potential parameters.

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