Spherically symmetric static vacuum solutions in Mimetic gravity

Research Article


In this paper we analyze spherically symmetric static vacuum solutions with various topologies in mimetic gravity. When the Einstein’s tensor is different from zero, a new class of solutions different from the Schwarzschild one emerges from the theory. We analyze the feature of the new solutions and we study the planar motion for the spherical case.


Mimetic gravity Spherically symmetric static solutions Geodesic motion 



L. S. thanks D. Momeni for comments and useful discussions.


  1. 1.
    Chamseddine, A.H., Mukhanov, V.: JHEP 1311, 135 (2013). arXiv:1308.5410 [astro-ph.CO]ADSCrossRefGoogle Scholar
  2. 2.
    Chamseddine, A.H., Mukhanov, V., Vikman, A.: JCAP 1406, 017 (2014). arXiv:1403.3961 [astro-ph.CO]ADSCrossRefGoogle Scholar
  3. 3.
    Matsumoto, J., Odintsov, S.D., Sushkov, S.V.: arXiv:1501.02149 [gr-qc]
  4. 4.
    Nojiri, S., Odintsov, S.D.: Mod. Phys. Lett. A 29(40), 1450211 (2014). arXiv:1408.3561 [hep-th]ADSCrossRefGoogle Scholar
  5. 5.
    Momeni, D., Altaibayeva, A., Myrzakulov, R.: arXiv:1407.5662 [gr-qc]
  6. 6.
    Momeni, D., Myrzakulov, R., Gudekli, E.: arXiv:1502.00977 [gr-qc]
  7. 7.
    Deruelle, N., Rua, J.: JCAP 1409, 002 (2014)ADSCrossRefGoogle Scholar
  8. 8.
    Golovnev, A.: Phys. Lett. B 728, 39 (2014). arXiv:1310.2790 [gr-qc]ADSCrossRefGoogle Scholar
  9. 9.
    Deruelle, N., Rua, J.: arXiv:1407.0825 [gr-qc]
  10. 10.
    Chaichian, M., Kluson, J., Oksanen, M., Tureanu, A.: JHEP 1412, 102 (2014). arXiv:1404.4008 [hep-th]
  11. 11.
    Malaeb, O.: arXiv:1404.4195 [gr-qc]

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of General and Theoretical Physics, Eurasian Center for Theoretical PhysicsEurasian National UniversityAstanaKazakhstan

Personalised recommendations