Null-null components of the generalized Einstein tensor for Lovelock models

Alessandro Pesci

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arXiv · 1503.01884

Null-null components of the generalized Einstein tensor for Lovelock models

Alessandro Pesci

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Abstract

For spherical symmetry, we provide expressions for the radial null-null components of the generalized Einstein tensor $E_{ab}$ for Lovelock models for diagonal $E_{ab}$ in terms of the metric and of the radial null-null components of the Ricci tensor. We show they can be usefully employed for example in obtaining the Birkhoff-like theorem for Lovelock models, as well as in providing a relation between the null energy and null convergence conditions for the same models.

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Alessandro Pesci. 2015-03-06. Null-null components of the generalized Einstein tensor for Lovelock models. https://arxiv.org/abs/1503.01884

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