Characterization of the Lovelock gravity by Bianchi derivative

Pramana

Naresh Dadhich1¹ 

[1] Inter-University Centre for Astronomy & Astrophysics, Post Bag 4, Pune 411 007, India$$

关键词: Gauss–Bonnet gravity;    Lovelock gravity;    higher derivative;    higher dimensions;    Bianchi derivative.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We prove the theorem: The second-order quasilinear differential operator as a second-rank divergence-free tensor in the equation of motion for gravitation could always be derived from the trace of the Bianchi derivative of the fourth-rank tensor, which is a homogeneous polynomial in curvatures. The existence of such a tensor for each term in the polynomial Lagrangian is a new characterization of the Lovelock gravity.

【 授权许可】

Unknown