Gravity on branes

@article{Deruelle2001GravityOB,
  title={Gravity on branes},
  author={Nathalie Deruelle and Joseph E. Katz},
  journal={Physical Review D},
  year={2001},
  volume={64},
  pages={083515}
}
We consider the four dimensional discontinuity generated by two identical pieces of a five dimensional space pasted along their edge (that is a “brane” in a “Z2-symmetric” “bulk”). Using a four plus one decomposition of the Riemann tensor we write the equations for gravity on the brane and recover in a simple manner a number of known “brane world” scenarios. We study under which conditions these equations reduce, exactly or approximately, to the four dimensional Einstein equations. We conclude… 

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References

SHOWING 1-10 OF 15 REFERENCES

On Cosmological Perturbations on a Brane in an Anti-de Sitter Bulk

In this paper, we consider cosmological perturbations on a brane universe embedded in an Anti-de Sitter bulk. We use a novel gauge, in which the full five-dimensional problem is in principle

Linearized gravity in the Randall-Sundrum scenario

In the literature about the Randall-Sundrum scenario, one finds, on the one hand, that there exist (small) corrections to Newton's law of gravity on the brane and, on the other, that the exact (and

Perturbations of brane worlds

We consider cosmological models where the universe, governed by Einstein's equations, is a piece of a five dimensional double-sided anti\char21{}de Sitter spacetime (that is, a

Nuovo Cimento B44

  • 1, (1966), Nuovo Cimento B48, 463 (1967); K. Lanczos, Phys. Z. 23, 539 (1922) and Ann. Phys. (Leipzig), 74, 518 (1924); G. Darmois, Mémorial des Sciences Mathématiques XXV, Gauthier-Villars, Paris
  • 1927

Phys Lett

  • B477
  • 2000

Phys

  • Lett. B436, 257 (1998); P. Horava, E. Witten, Nucl. Phys. B460, 506 (1996), Nucl. Phys. B475, 94
  • 1996

Nucl

  • Phys. B585 (2000) 1395; N. Deruelle and T. Dolezel, Phys. Rev. D62 (2000) 103502; I.P. Neupane, JHEP 0009 (2000) 1040; J.E. Kim and H. M. Lee, “Gravity in the Einstein-Gauss-Bonnet theory with the Randall-Sundrum background”, hep-th/0011118; O. Corradini and Z. Kakushadze, Phys. Lett. B494
  • 2000