Abstract
The chapter reviews the two approaches to test the Kerr black hole hypothesis with electromagnetic radiation. In the top-bottom approach, we employ a non-Kerr black hole solution from a certain alternative theory of gravity and we check whether it can better explain observational data than the Kerr metric. In the bottom-up approach, we consider instead a phenomenological parameterization of the metric, which ideally should be able to describe the spacetime of any possible black hole in any possible gravity theory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The expression total angular momentum is used to indicate the angular momentum computed as the Komar integral associated to axisymmetry at spatial infinity.
- 2.
The data files are available at http://gravitation.web.ua.pt/index.php?q=node/416.
- 3.
That is, we have rescaled, in this discussion, \(\mu r_\mathrm{H} \rightarrow r_\mathrm{H}\), \(\varOmega _\mathrm{H}/\mu \rightarrow \varOmega _\mathrm{H}\), \(\mu M\rightarrow M\) and \(\mu ^2 J\rightarrow J\). Let us note that any solution can have any physical mass for an appropriate choice of \(\mu \).
References
M. Azreg-Ainou, Class. Quant. Grav. 28, 148001 (2011), arXiv:1106.0970 [gr-qc]
C. Bambi, JCAP 1105, 009 (2011), arXiv:1103.5135 [gr-qc]
E. Barausse, T.P. Sotiriou, Phys. Rev. Lett. 101, 099001 (2008), arXiv:0803.3433 [gr-qc]
E. Berti et al., Class. Quant. Grav. 32, 243001 (2015), arXiv:1501.07274 [gr-qc]
B. Bertotti, L. Iess, P. Tortora, Nature 425, 374 (2003)
J. Brink, Phys. Rev. D 78, 102002 (2008), arXiv:0807.1179 [gr-qc]
V. Cardoso, P. Pani, J. Rico, Phys. Rev. D 89, 064007 (2014), arXiv:1401.0528 [gr-qc]
X. Dianyon, Class. Quant. Grav. 5, 871 (1988)
G. Dvali, C. Gomez, Fortsch. Phys. 61, 742 (2013), arXiv:1112.3359 [hep-th]
G. Dvali, C. Gomez, Phys. Lett. B 719, 419 (2013), arXiv:1203.6575 [hep-th]
H. Fang, Ph.D. thesis, California Institute of Technology (2007)
M. Ghasemi-Nodehi, C. Bambi, Eur. Phys. J. C 76, 290 (2016), arXiv:1604.07032 [gr-qc]
S.B. Giddings, Phys. Rev. D 90, 124033 (2014), arXiv:1406.7001 [hep-th]
K. Glampedakis, S. Babak, Class. Quant. Grav. 23, 4167 (2006), arXiv:gr-qc/0510057
D. Hansen, N. Yunes, Phys. Rev. D 88, 104020 (2013), arXiv:1308.6631 [gr-qc]
C.A.R. Herdeiro, E. Radu, Phys. Rev. Lett. 112, 221101 (2014),arXiv:1403.2757 [gr-qc]
C. Herdeiro, E. Radu, Class. Quant. Grav. 32, 144001 (2015), arXiv:1501.04319 [gr-qc]
C. Herdeiro, E. Radu, H. Runarsson, Class. Quant. Grav. 33, 154001 (2016), arXiv:1603.02687 [gr-qc]
T. Johannsen, Phys. Rev. D 88, 044002 (2013), arXiv:1501.02809 [gr-qc]
T. Johannsen, D. Psaltis, Phys. Rev. D 83, 124015 (2011), arXiv:1105.3191 [gr-qc]
H. Kim, Phys. Rev. D 59, 064002 (1999)
B. Kleihaus, J. Kunz, E. Radu, Phys. Rev. Lett. 106, 151104 (2011), arXiv:1101.2868 [gr-qc]
R. Konoplya, L. Rezzolla, A. Zhidenko, Phys. Rev. D 93, 064015 (2016), arXiv:1602.02378 [gr-qc]
N. Lin, N. Tsukamoto, M. Ghasemi-Nodehi, C. Bambi, Eur. Phys. J. C 75, 599 (2015), arXiv:1512.00724 [gr-qc]
V.S. Manko, I.D. Novikov, Class. Quant. Grav. 9, 2477 (1992)
V.S. Manko, E.W. Mielke, J.D. Sanabria-Gomez, Phys. Rev. D 61, 081501 (2000), arXiv:gr-qc/0001081
V.S. Manko, J.D. Sanabria-Gomez, O.V. Manko, Phys. Rev. D 62, 044048 (2000)
Y. Ni, M. Zhou, A. Cardenas-Avendano, C. Bambi, C.A.R. Herdeiro, E. Radu, JCAP 1607, 049 (2016), arXiv:1606.04654 [gr-qc]
K. Nordtvedt, Phys. Rev. 169, 1017 (1968)
D. Psaltis, D. Perrodin, K.R. Dienes, I. Mocioiu, Phys. Rev. Lett. 100, 091101 (2008) [erratum: Phys. Rev. Lett. 100, 119902 (2008)], arXiv:0710.4564 [astro-ph]
F.E. Schunck, E.W. Mielke, Phys. Lett. A 249, 389 (1998)
T.P. Sotiriou, V. Faraoni, Phys. Rev. Lett. 108, 081103 (2012), arXiv:1109.6324 [gr-qc]
S. Vigeland, N. Yunes, L. Stein, Phys. Rev. D 83, 104027 (2011), arXiv:1102.3706 [gr-qc]
C.M. Will, Living Rev. Rel. 17, 4 (2014), arXiv:1403.7377 [gr-qc]
J.G. Williams, S.G. Turyshev, D.H. Boggs, Phys. Rev. Lett. 93, 261101 (2004), arXiv:gr-qc/0411113
S. Yazadjiev, Gen. Rel. Grav. 32, 2345 (2000)
S. Yoshida, Y. Eriguchi, Phys. Rev. D 56, 762 (1997)
B. Zwiebach, Phys. Lett. B 156, 315 (1985)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Bambi, C. (2017). Non-Kerr Spacetimes. In: Black Holes: A Laboratory for Testing Strong Gravity. Springer, Singapore. https://doi.org/10.1007/978-981-10-4524-0_12
Download citation
DOI: https://doi.org/10.1007/978-981-10-4524-0_12
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-4523-3
Online ISBN: 978-981-10-4524-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)