Inverse approach to Einstein's equations for nonconducting fluids

  title={Inverse approach to Einstein's equations for nonconducting fluids},
  author={Mustapha Ishak and Kayll Lake Princeton University and Queen's University and Kingston},
  journal={Physical Review D},
We show that a flow (timelike congruence) in any type ${B}_{1}$ warped product spacetime is uniquely and algorithmically determined by the condition of zero flux. (Though restricted, these spaces include many cases of interest.) The flow is written out explicitly for canonical representations of the spacetimes. With the flow determined, we explore an inverse approach to Einstein's equations where a phenomenological fluid interpretation of a spacetime follows directly from the metric… 
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