Sourcing a Varying-Mass Black Hole in a Cosmological Background

  • Michele FontaniniEmail author
  • Daniel C. Guariento
Part of the Springer Proceedings in Physics book series (SPPHY, volume 170)


Systems in which the local gravitational attraction is coupled to the expansion of the Universe have been studied since the early stages of General Relativity. The McVittie metric is an example of such systems, being an exact solution of the Einstein equations representing a black hole in a cosmological background. Here, by using imperfect fluids, we construct a generalization of the McVittie solution in which the mass function of the black hole increases with time, effectively describing an accreting compact object in an expanding Universe. A novel mechanism involving temperature gradients is the key ingredient that leads to this result while still avoiding phantom fields and fine-tuning.


Black Hole Mass Function Causal Structure Perfect Fluid Apparent Horizon 
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This work is supported by FAPESP.


  1. 1.
    G.C. McVittie, Mon. Not. Roy. Astr. Soc. 93, 325–339 (1933)CrossRefADSGoogle Scholar
  2. 2.
    A.K. Raychaudhuri, Theoretical Cosmology (Clarendon Press, Oxford, 1979)zbMATHGoogle Scholar
  3. 3.
    M. Carrera, D. Giulini, Rev. Mod. Phys. 82, 169–208 (2010)CrossRefADSGoogle Scholar
  4. 4.
    B. Nolan, Class. Quant. Grav. 16, 1227–1254 (1999)zbMATHMathSciNetCrossRefADSGoogle Scholar
  5. 5.
    V. Faraoni, A. Jacques, Phys. Rev. D 76, 063510 (2007)MathSciNetCrossRefADSGoogle Scholar
  6. 6.
    N. Kaloper, M. Kleban, D. Martin, Phys. Rev. D 81, 104044 (2010)CrossRefADSGoogle Scholar
  7. 7.
    K. Lake, M. Abdelqader, Phys. Rev. D 84, 044045 (2011)CrossRefADSGoogle Scholar
  8. 8.
    P. Kustaanheimo, B. Qvist, CPM 13, 1–11 (1948) (reprinted in Gem. Rel. Gravit. 30, 663–673 (1998))Google Scholar
  9. 9.
    A.M. da Silva, M. Fontanini, D.C. Guariento, Phys Rev. D 87, 064030 (2013)CrossRefADSGoogle Scholar
  10. 10.
    D.C. Guariento, M. Fontanini, A.M. da Silva, E. Abdalla, Phys. Rev. D 86, 124020 (2012)CrossRefADSGoogle Scholar
  11. 11.
    V. Faraoni, A.F.Z. Moreno, R. Nandra. Phys. Rev. D 85, 083526 (2012)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Instituto de Física, Universidade de São PauloSão PauloBrazil
  2. 2.Perimeter Institute for Theoretical PhysicsWaterlooCanada

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