TY - JOUR
A2 - Sakalli, Izzet
AU - Chakraborty, Sumanta
PY - 2018
DA - 2018/04/19
TI - Field Equations for Lovelock Gravity: An Alternative Route
SP - 6509045
VL - 2018
AB - We present an alternative derivation of the gravitational field equations for Lovelock gravity starting from 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, 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, emerges quiet naturally.
SN - 1687-7357
UR - https://doi.org/10.1155/2018/6509045
DO - 10.1155/2018/6509045
JF - Advances in High Energy Physics
PB - Hindawi
KW -
ER -