Bound orbits and gravitational theory

@article{Dadhich2013BoundOA,
  title={Bound orbits and gravitational theory},
  author={Naresh Dadhich and Sushant G Ghosh and Sanjay Jhingan},
  journal={Physical Review D},
  year={2013},
  volume={88},
  pages={124040}
}
It can be easily shown that bound orbits around a static source can exist only in 4 dimension and in none else for any long range force. This is so not only for Maxwell’s electromagnetic and Newton’s gravity but also for Einstein’s gravitation theory. In contrast to Maxwell’s electrodynamics and Newton’s gravity, GR has a natural higher dimensional generalization in Lovelock gravity which remarkably admits bound orbits around a static black hole in all even d = 2N + 2 dimensions where N is… Expand

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References

The Gravitational Equation in Higher Dimensions
Like the Lovelock Lagrangian which is a specific homogeneous polynomial in Riemann curvature, for an alternative derivation of the gravitational equation of motion, it is possible to define aExpand