Black holes in torsion bigravity

Abstract

We study spherically symmetric black hole solutions in a four-parameter Einstein-Cartan-type class of theories, called "torsion bigravity". These theories offer a geometric framework (with a metric and an independent torsionfull connection) for a modification of Einstein's theory that has the same spectrum as bimetric gravity models. In addition to an Einsteinlike massless spin-2 excitation, there is a massive spin-2 one (of range ${\kappa }^{-1}$) coming from the torsion sector, rather than from a second metric. We prove the existence of three broad classes of spherically-symmetric black hole solutions in torsion bigravity. First, the Schwarzschild solution defines an asymptotically-flat torsionless black hole for all values of the parameters. [And we prove that one cannot deform a Schwarzschild solution, at the linearized level, by adding an infinitesimal torsion hair.] Second, when considering finite values of the range, we find that there exist non-asymptotically-flat torsion-hairy black holes in a large domain of parameter space. Third, we find that, in the limit of infinite range, there exists a two-parameter family of asymptotically flat torsion-hairy black holes. The latter black hole solutions give an interesting example of non-Einsteinian (but still purely geometric) black hole structures which might be astrophysically relevant when considering a range of cosmological size.

arXiv comment19 pages, 3 figures

References in corpus (36)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Extended Theories of Gravity
• Resummation of Massive Gravity
• Testing General Relativity with Present and Future Astrophysical Observations
• Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
• Bimetric Gravity from Ghost-free Massive Gravity
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Black hole hair in generalized scalar-tensor gravity
• Black hole hair in generalized scalar-tensor gravity: An explicit example
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Instability of black holes in massive gravity
• Equations of Motion for Massive Spin 2 Field Coupled to Gravity
• Beyond Einstein-Cartan gravity: Quadratic torsion and curvature invariants with even and odd parity including all boundary terms
• Perturbed Kerr Black Holes can probe deviations from General Relativity
• Hairy black holes in the ghost-free bigravity theory
• Constraining Torsion with Gravity Probe B
• Black holes with massive graviton hair
• The Vainshtein mechanism in the Decoupling Limit of massive gravity
• Black holes in massive gravity
• On horizon structure of bimetric spacetimes
• Constraining spacetime torsion with the Moon and Mercury
• Massive Spin-2 fields of Geometric Origin in Curved Spacetimes
• Infrared Modified Gravity with Dynamical Torsion
• On stars, galaxies and black holes in massive bigravity
• Non linear Fierz-Pauli theory from torsion and bigravity
• Infrared modified gravity with propagating torsion: instability of torsionfull de Sitter-like solutions
• Self-accelerating Universe in modified gravity with dynamical torsion
• Spherically symmetric solutions in torsion bigravity
• On the stability of self-accelerating Universe in modified gravity with dynamical torsion
• Absence of a Vainshtein radius in torsion bigravity
• Stability of self-accelerating Universe in modified gravity with dynamical torsion: the case of small background torsion

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• Spherically symmetric perturbations of a Schwarzschild black hole in torsion bigravity
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