Slowly rotating black holes in alternative theories of gravity
- CENTRA, Departamento de Fisica, Instituto Superior Tecnico, Universidade Tecnica de Lisboa-UTL, Av. Rovisco Pais 1, 1049 Lisboa (Portugal)
- Faculdade de Fisica, Universidade Federal do Para, 66075-110, Belem, Para (Brazil)
We present, in closed analytic form, a general stationary, slowly rotating black hole, which is a solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented by all possible quadratic, algebraic curvature invariants coupled to a scalar field. The solution is found as a deformation of the Schwarzschild metric in general relativity. We explicitly derive the changes to the orbital frequency at the innermost stable circular orbit and at the light ring in closed form. These results could be useful when comparing general relativity against alternative theories by (say) measurements of x-ray emission in accretion disks, or by stellar motion around supermassive black holes. When gravitational-wave astronomy comes into force, strong constraints on the coupling parameters can in principle be made.
- OSTI ID:
- 21607972
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 84, Issue 8; Other Information: DOI: 10.1103/PhysRevD.84.087501; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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ACCRETION DISKS
BLACK HOLES
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DEFORMATION
EMISSION
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL WAVES
MATHEMATICAL SOLUTIONS
ORBITS
SCALAR FIELDS
SCHWARZSCHILD METRIC
X RADIATION
ELECTROMAGNETIC RADIATION
FIELD THEORIES
IONIZING RADIATIONS
METRICS
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RELATIVITY THEORY