Skip to Main Content

Access Provided by Xinjiang University

Physical Review D

Access by Xinjiang University

Are black holes a serious threat to scalar field dark matter models?

Juan Barranco^1,*, Argelia Bernal^2,†, Juan Carlos Degollado^1,‡, Alberto Diez-Tejedor^2,§, Miguel Megevand^2,∥, Miguel Alcubierre^2,¶, Darío Núñez^2,**, and Olivier Sarbach^3,††

¹Instituto de Astronomía, Universidad Nacional Autónoma de México, Circuito Exterior C.U., A.P. 70-264, México D.F. 04510, México
²Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Circuito Exterior C.U., A.P. 70-543, México D.F. 04510, México
³Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, 58040 Morelia, Michoacán, México

^*barranco@astroscu.unam.mx
^†argelia.bernal@nucleares.unam.mx
^‡jdaza@astroscu.unam.mx
^§alberto.diez@nucleares.unam.mx
^∥megevand@nucleares.unam.mx
^¶malcubi@nucleares.unam.mx
^**nunez@nucleares.unam.mx
^††sarbach@ifm.umich.mx

Phys. Rev. D 84, 083008 – Published 21 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.083008

Abstract

Classical scalar fields have been proposed as possible candidates for the dark matter component of the universe. Given the fact that supermassive black holes seem to exist at the center of most galaxies, in order to be a viable candidate for the dark matter halo a scalar field configuration should be stable in the presence of a central black hole, or at least be able to survive for cosmological time scales. In the present work we consider a scalar field as a test field on a Schwarzschild background, and study under which conditions one can obtain long-lived configurations. We present a detailed study of the Klein-Gordon equation in the Schwarzschild space-time, both from an analytical and numerical point of view, and show that indeed there exist quasistationary solutions that can remain surrounding a black hole for large time scales.

See Also

Schwarzschild scalar wigs: Spectral analysis and late time behavior

Juan Barranco, Argelia Bernal, Juan Carlos Degollado, Alberto Diez-Tejedor, Miguel Megevand, Miguel Alcubierre, Darío Núñez, and Olivier Sarbach

Phys. Rev. D 89, 083006 (2014)

Article Text

References (56)

James E. Lidsey et al., Rev. Mod. Phys. 69, 373 (1997).
P. J. E. Peebles and Bharat Ratra, Rev. Mod. Phys. 75, 559 (2003).
T. Padmanabhan, Phys. Rep. 380, 235 (2003).
P. J. E. Peebles and A. Vilenkin, Phys. Rev. D 60, 103506 (1999).
P. J. E. Peebles, Astrophys. J. Lett. 534, L127 (2000).
Varun Sahni and Li-Min Wang, Phys. Rev. D 62, 103517 (2000).
Wayne Hu, Rennan Barkana, and Andrei Gruzinov, Phys. Rev. Lett. 85, 1158 (2000).
Tonatiuh Matos and L. Arturo Urena-Lopez, Classical Quantum Gravity 17, L75 (2000).
Tonatiuh Matos and L. Arturo Urena-Lopez, Phys. Rev. D 63, 063506 (2001).
F. Briscese, Phys. Lett. B 696, 315 (2011).
Andrew P. Lundgren, Mihai Bondarescu, Ruxandra Bondarescu, and Jayashree Balakrishna, Astrophys. J. 715, L35 (2010).
Ulises Nucamendi, Marcelo Salgado, and Daniel Sudarsky, Phys. Rev. D 63, 125016 (2001).
David J. E. Marsh and Pedro G. Ferreira, Phys. Rev. D 82, 103528 (2010).
Sang-Jin Sin, Phys. Rev. D 50, 3650 (1994).
Alexandre Arbey, Phys. Rev. D 64, 123528 (2001).
Argelia Bernal, Tonatiuh Matos, and Dario Nunez, Rev. Mex. Astron. Astrofis. 44, 149 (2008).
Jae-Weon Lee and Sooil Lim, J. Cosmol. Astropart. Phys. 01 (2010) 007.
Kung-Yi Su and Pisin Chen, J. Cosmol. Astropart. Phys., 08 (2011) 016.
T. Harko, J. Cosmol. Astropart. Phys. 05 (2011) 022.
Michael S. Turner, Phys. Rev. D 28, 1243 (1983).
Pau Amaro-Seoane, Juan Barranco, Argelia Bernal, and Luciano Rezzolla, J. Cosmol. Astropart. Phys. 11 (2010) 002.
Jai-chan Hwang, Phys. Lett. B 401, 241 (1997).
Wayne Hu, Astrophys. J. 506, 485 (1998).
D. J. Kaup, Phys. Rev. 172, 1331 (1968).
R. Ruffini and S. Bonazzola, Phys. Rev. 187, 1767 (1969).
F. E. Schunck and E. W. Mielke, Classical Quantum Gravity 20, R301 (2003).
P. Jetzer, Phys. Rep. 220, 163 (1992).
Jae-weon Lee and In-gyu Koh, Phys. Rev. D 53, 2236 (1996).
E. Seidel and W. Suen, Phys. Rev. D 42, 384 (1990).
T. D. Lee and Y. Pang, Nucl. Phys. B315, 477 (1989).
Tonatiuh Matos and L. Arturo Urena-Lopez, Gen. Relativ. Gravit. 39, 1279 (2007).
Argelia Bernal, Juan Barranco, Daniela Alic, and Carlos Palenzuela, Phys. Rev. D 81, 044031 (2010).
L. Arturo Urena-Lopez and Argelia Bernal, Phys. Rev. D 82, 123535 (2010).
I. Pena and D. Sudarsky, Classical Quantum Gravity 14, 3131 (1997).
J. D. Bekenstein, Phys. Rev. D 51, R6608 (1995).
Ulises Nucamendi and Marcelo Salgado, Phys. Rev. D 68, 044026 (2003).
R. L. Marsa and M. W. Choptuik, Phys. Rev. D 54, 4929 (1996).
Ted Jacobson, Phys. Rev. Lett. 83, 2699 (1999).
Rachel Bean and Joao Magueijo, Phys. Rev. D 66, 063505 (2002).
Andrei V. Frolov, Phys. Rev. D 70, 061501 (2004).
E. Babichev, V. Dokuchaev, and Yu. Eroshenko, Phys. Rev. Lett. 93, 021102 (2004).
E. Babichev, V. Dokuchaev, and Yu. Eroshenko, J. Exp. Theor. Phys. 100, 528 (2005).
L. Arturo Urena-Lopez and Lizbeth M. Fernandez, Black holes and the absorption rate of cosmological scalar fields, 2011.
J. A. Gonzalez and F. S. Guzman, Phys. Rev. D 79, 121501 (2009).
Luis Arturo Urena-Lopez and Andrew R. Liddle, Phys. Rev. D 66, 083005 (2002).
A. Cruz-Osorio, F. S. Guzman, and F. D. Lora-Clavijo, J. Cosmol. Astropart. Phys. 06 (2011) 029.
Miguel Megevand, Ignacio Olabarrieta, and Luis Lehner, Classical Quantum Gravity, 24, 3235 (2007).
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Academic Press, San Francisco, 1973).
B. P. Jensen and P. Candelas, Phys. Rev. D 33, 1590 (1986).
A. Zecca, Nuovo Cimento Soc. Ital. Fis. B 124, 12, 1251 (2009).
Claude Amsler et al., Phys. Lett. B 667, 1 (2008).
Liliana E. Simone and Clifford M. Will, Classical Quantum Gravity 9, 963 (1992).
Akira Ohashi and Masa-aki Sakagami, Classical Quantum Gravity 21, 3973 (2004).
R. A. Konoplya and A. V. Zhidenko, Phys. Lett. B 609, 377 (2005).
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, England, 1986).
Juan Carlos Degollado, Dario Nunez, and Carlos Palenzuela, Gen. Relativ. Gravit. 42, 1287 (2009).