Black hole hairs in scalar-tensor gravity and the lack thereof - INSPIRE

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Black hole hairs in scalar-tensor gravity and the lack thereof

Lodovico Capuano
(
- SISSA, Trieste and
- IFPU, Trieste
)
,
Luca Santoni
(
- APC, Paris
)
,
Enrico Barausse
(
- SISSA, Trieste and
- IFPU, Trieste
)

Apr 25, 2023

14 pages

Published in:

Phys.Rev.D 108 (2023) 6, 6

Published: Sep 15, 2023

e-Print:

2304.12750 [gr-qc]

DOI:

10.1103/PhysRevD.108.064058 (publication)

Report number:

DE13253

View in:

reference search17 citations

Citations per year

Abstract: (APS)

Scalar-tensor theories are a natural alternative to general relativity, as they may provide an effective dark energy phenomenology on cosmological scales while passing local tests, but their black hole solutions are still poorly understood. Here, we generalize existing no-hair theorems for spherical black holes and specific theories in the scalar-tensor class. We show that shift symmetry prevents the appearance of scalar hairs in rotating (asymptotically flat, stationary, and axisymmetric) black holes for all theories in the Horndeski/beyond Horndeski/DHOST classes, but for those with a coupling between the scalar and the Gauss-Bonnet invariant. Our proof also applies to higher dimensions. We also compute the values of the scalar hair charges if shift symmetry and asymptotic flatness are violated by a time growth of the scalar field at infinity, under suitable regularity conditions at the event horizon.

Note:

14 pages, 1 figure, published version, corrected title

hair: scalar
black hole: hair
symmetry: axial
gravitation: scalar tensor
field theory: scalar
higher-dimensional
rotation
general relativity
horizon
dark energy

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Figures(1)

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