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Rotating Black Holes in Higher Order Gravity

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arxiv 1903.05519 v1 pith:UC77RDA2 submitted 2019-03-13 hep-th astro-ph.COgr-qc

Rotating Black Holes in Higher Order Gravity

classification hep-th astro-ph.COgr-qc
keywords blackhairholecosmologicalgravitationalgravityrotatingstealth
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a new technique for finding black hole solutions in modified gravity that have "stealth" hair, i.e., hair whose only gravitational effect is to tune the cosmological constant. We consider scalar-tensor theories in which gravitational waves propagate at the speed of light, and show that Einstein metrics can be painted with stealth hair provided there exists a family of geodesics always normal to spacelike surfaces. We also present a novel scalar-dressed rotating black hole that has finite scalar field at both the black hole and cosmological event horizons.

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Cited by 6 Pith papers

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

  1. Fragility of stealth solutions in mimetic gravity

    gr-qc 2026-06 unverdicted novelty 7.0

    Stealth solutions in mimetic gravity decouple from background dynamics on the lambda=0 branch but impose an infinite hierarchy of constraints on perturbations, rendering the screening limit non-uniform and pathological.

  2. Testing Dark Energy with Black Hole Ringdown

    gr-qc 2026-03 unverdicted novelty 7.0

    Dynamical dark energy imprints O(1) shifts on black hole quasi-normal modes via cosmological hair, enabling constraints at 10^{-2} (LVK) to 10^{-4} (LISA) precision using the cubic Galileon as example.

  3. Stable black hole solutions with cosmological hair

    gr-qc 2026-03 unverdicted novelty 7.0

    Stable black hole solutions with cosmological scalar hair are explicitly derived in the cubic Galileon theory, recovering cosmological behavior at large distances and regular short-range dynamics.

  4. Inverting no-hair theorems: How requiring General Relativity solutions restricts scalar-tensor theories

    gr-qc 2025-03 accept novelty 7.0

    Requiring stealth Schwarzschild and de Sitter solutions in quadratic/cubic scalar-tensor theories eliminates odd-parity deviations from GR when all solutions are required, while allowing some deviations and non-trivia...

  5. Radial Perturbations of Black Holes in DHOST Theories

    gr-qc 2026-06 unverdicted novelty 6.0

    Radial perturbations of black holes with primary hair in DHOST theories are rewritten as a flat radial wave equation whose positive self-adjoint extension guarantees stability of the monopole mode.

  6. Rotating black holes with primary hair in five-dimensional generalized Proca theory

    gr-qc 2026-05 unverdicted novelty 6.0

    New class of exact rotating black holes with primary hair in 5D generalized Proca theory, generalizing Myers-Perry via Kerr-Schild form with light-like Proca field.