Field equations for Lovelock gravity: An alternative route
arXiv:1704.07366 · doi:10.1155/2018/6509045
Abstract
We present an alternative derivation of the gravitational field equations for Lovelock gravity starting from the Newton's law, which is closer in spirit to the thermodynamic description of gravity. As a warm up exercise, we have explicitly demonstrated that projecting the Riemann curvature tensor appropriately and taking a cue from Poisson's equation, the Einstein's equations immediately follow. The above derivation naturally generalizes to Lovelock gravity theories where an appropriate curvature tensor satisfying the symmetries as well as the Bianchi derivative properties of the Riemann tensor has to be used. Interestingly, in the above derivation, the thermodynamic route to gravitational field equations, suited for null hypersurfaces, emerge quiet naturally.
Invited Article; 11 pages, no figures
References in corpus (8)
- Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
- Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
- Friedmann Equations and Thermodynamics of Apparent Horizons
- Holography of Gravitational Action Functionals
- Is gravitational entropy quantized ?
- Thermodynamics on the apparent horizon in generalized gravity theories
- First law of thermodynamics and Friedmann-like equations in braneworld cosmology
- Boundary terms of the Einstein-Hilbert action