Abstract It is well known that a rotating black hole in four dimension could be overspun by linear order test particle accretion which however always gets overturned when non-linear perturbations are included. turns out the Einstein gravity, repulsion due to rotation dominates over attraction mass dimensions, D > 5, and consequently cannot even for accretion. For pure Lovelock hole, this dim...

The first law for the holographic entanglement entropy of spheres in a boundary CFT (Conformal Field Theory) with a bulk Lovelock dual is extended to include variations of the bulk Lovelock coupling constants. Such variations in the bulk correspond to perturbations within a family of boundary CFTs. The new contribution to the first law is found to be the product of the variation δa of the “A”-t...

The expansion law proposed by Padmanabhan suggests that the evolution of volume horizon is due to difference between degrees freedom on and in bulk enclosed horizon. In formulating this law, used temperature, $$ T=H/2\pi for a dynamical expansion. work, we modified using Kodama–Hayward horizon, first $$(3+1)$$ Einstein’s gravity extended it high order theories such as $$(n+1)$$ Einstein gravity...