Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories - INSPIRE

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Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories

Hayato Motohashi
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Masato Minamitsuji
(
- Lisbon, CENTRA and
- Lisbon, IST
)

Jan 14, 2019

15 pages

Published in:

Phys.Rev.D 99 (2019) 6, 064040

Published: Mar 27, 2019

e-Print:

1901.04658 [gr-qc]

DOI:

10.1103/PhysRevD.99.064040

Report number:

YITP-19-01

View in:

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Abstract: (APS)

We find various exact black hole solutions in the shift-symmetric subclass of the quadratic degenerate higher-order scalar-tensor (DHOST) theories with linearly time dependent scalar field whose kinetic term is constant. The exact solutions are the Schwarzschild and Schwarzschild-(anti–)de Sitter solutions, and the Schwarzschild-type solution with a deficit solid angle, which are accompanied by nontrivial scalar field regular at the black hole event horizon. We derive the conditions for the coupling functions in the DHOST Lagrangian that allow the exact solutions, clarify their compatibility with the degeneracy conditions, and provide general form of coupling functions as well as simple models that satisfy the conditions.

Note:

15 pages; reference added; matches published version

General relativity, alternative theories of gravity
field theory: scalar
black hole
time dependence
Schwarzschild
gravitation: scalar tensor
field equations: solution
higher-order
de Sitter
anti-de Sitter

References(49)

Figures(0)

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