Gravity on branes

  title={Gravity on branes},
  author={Nathalie Deruelle and Joseph E. Katz},
  journal={Physical Review D},
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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