Advertisement

Conformally covariant parametrizations for initial data in some modified Einstein gravity theories

  • Erwann DelayEmail author
Regular Article
  • 12 Downloads

Abstract.

We propose further conformal parametrizations for initial data in some modified Einstein gravity theories. Some of them give rise to conformally covariant systems.

References

  1. 1.
    P.T. Chruściel, H. Friedrich (Editors), The Einstein Equations and the Large Scale Behavior of Gravitational Fields (50 Years of the Cauchy Problem in General Relativity) (Birkhäuser Verlag, Basel Boston Berlin, 2004)Google Scholar
  2. 2.
    Robert Bartnik, Jim Isenberg, The constraint equations, in The Einstein Equations and the Large Scale Behavior of Gravitational Fields (Birkhäuser, Basel, 2004) pp. 1--38Google Scholar
  3. 3.
    Philippe G. LeFloch, Yue Ma, Mathematical Validity of the f(R) Theory of Modified Gravity, arXiv:1412.8151 (2014)Google Scholar
  4. 4.
    Takashi Torii, Hisa-aki Shinkai, Phys. Rev. D 78, 084037 (2008)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    A. Lichnerowicz, J. Math. Pures Appl. 23, 37 (1944)MathSciNetGoogle Scholar
  6. 6.
    J.W. York, J. Math. Phys. 14, 456 (1973)ADSCrossRefGoogle Scholar
  7. 7.
    E. Delay, Class. Quantum Grav. 34, 01LT01 (2017)CrossRefGoogle Scholar
  8. 8.
    Y. Choquet-Bruhat, General Relativity and the Einstein Equations, in Oxford Mathematical Monographs (Oxford University Press, 2009)Google Scholar
  9. 9.
    Y. Choquet-Bruhat, Gravitation with Gauss Bonnet terms, in Proc. Centre Math. Appl. Conference on Mathematical Relativity, edited by Robert Bartnik, Vol. 19 (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1989) pp. 53--72Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques d’Avignon (EA 2151)AvignonFrance

Personalised recommendations