On Lovelock vacuum solution

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Dadhich, Naresh;
  • Subject: High Energy Physics - Theory | Astrophysics - Cosmology and Nongalactic Astrophysics
    arxiv: General Relativity and Quantum Cosmology

We show that the asymptotic large $r$ limit of all Lovelock vacuum and electrovac solutions with $\Lambda$ is always the Einstein solution in $d \geq 2n+1$ dimensions. It is completely free of the order $n$ of the Lovelock polynomial indicating universal asymptotic beha... View more
  • References (21)
    21 references, page 1 of 3

    [1] N. Dadhich, Subtle is the Gravity, gr-qc/0102009.

    [2] S. Perlmutter et. al., Astrophys. J. 483, 565 (1997); Nature 391, 51 (1998).

    [3] N.Dadhich, Universalization as a Physical guiding Principle, gr-qc/0311028; On the Gauss Bonnet Gravity, Mathematical Physics, (Proceedings of the 12th Regional Conference on Mathematical Physics), Eds., M.J. Islam, F. Hussain, A. Qadir, Riazuddin and Hamid Saleem, World Scientific, 331 (hep-th/0509126); Formation of a Black Hole from an AdS Spacetime, Theoretical High Energy Physics (Proceedings of the International Workshop on Theoretical High Energy Physics), Ed. A. Misra, American Institute of Physics, 101 (arXiv:0705.2490).

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    [6] The Einstein-GB vacuum equation would however read as Gab +αGBHab = −Λgab where αGB is the GB coupling constant. In absence of maatter in higher dimensions, it would perhaps be appropriate to consider only the GB vacuum part Hab = −Λgab.

    [7] B. Whitt, Phys. Rev. D38, 3000 (1988); R. C. Myers and J. Z. Simon, Phys. Rev. 38, 2434 (1988). (It came to my notice after v3 was put up)

    [8] B. Whitt, Phys. Rev. D38, 3000 (1988).

    [9] N. Dadhich, On the Schwarzschild field, gr-qc/9704068.

    [10] D.G. Boulware and S. Deser, Phys. Rev. Lett. 55, 2656 (1985); J. T. Wheeler, Nucl. Phys. B268, 737 (1986), B273, 732 (1986).

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