Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids

@article{Ovalle2017DecouplingGS,
  title={Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids},
  author={Jorge Ovalle},
  journal={Physical Review D},
  year={2017},
  volume={95},
  pages={104019}
}
  • J. Ovalle
  • Published 19 April 2017
  • Physics, Geology
  • Physical Review D
We show the first simple, systematic and direct approach to decoupling gravitational sources in general relativity. As a direct application, a robust and simple way to generate anisotropic solutions for self-gravitating systems from perfect fluid solutions is presented. 

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References

SHOWING 1-5 OF 5 REFERENCES

Braneworld Stars: Anisotropy Minimally Projected Onto the Brane

In the context of the Randall-Sundrum braneworld, an exhaustive and detailed description of the approach based in the minimal anisotropic consequence onto the brane, which has been successfully used

Class

  • Quantum Grav., 32, 045015
  • 2015

Herlt, Exact Solutions of Einsteins Field Equations(Cambridge

  • 2003

Xanthopoulos, Superposition of solutions in general relativity in

  • Lecture Notes in Physics
  • 1985

Comput

  • Phys. Commun. 115 395
  • 1998