Galactic space-times in modified theories of gravity

  • Dipanjan Dey
  • Kaushik Bhattacharya
  • Tapobrata Sarkar
Research Article
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Accepted:

Abstract

We study Bertrand space-times (BSTs), which have been proposed as viable models of space-times seeded by galactic dark matter, in modified theories of gravity. We first critically examine the issue of galactic rotation curves in general relativity, and establish the usefulness of BSTs to fit experimental data in this context. We then study BSTs in metric f(R) gravity and in Brans–Dicke theories. For the former, the nature of the Newtonian potential is established, and we also compute the effective equation of state and show that it can provide good fits to some recent experimental results. For the latter, we calculate the Brans–Dicke scalar analytically in some limits and numerically in general, and find interesting constraints on the parameters of the theory. Our results provide evidence for the physical nature of BSTs in modified theories of gravity.

Keywords

Modified theories of gravity Galactic dark matter Galactic rotation curves 
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Notes

Acknowledgments

It is a pleasure to thank Sayan Kar for valuable comments.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Dipanjan Dey
    • 1
  • Kaushik Bhattacharya
    • 1
  • Tapobrata Sarkar
    • 1
  1. 1.Department of PhysicsIndian Institute of TechnologyKanpurIndia

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