Abstract Details
| Name: Sumanta Chakraborty Affiliation: IUCAA Conference ID: ASI2015_591 Title : Evolution of Spacetime arises due to the departure from Holographic Equipartition in all Lanczos-Lovelock Theories of Gravity Authors and Co-Authors : T. Padmanabhan IUCAA Abstract Type : Oral Abstract Category : General Relativity and Cosmology Abstract : In the case of general relativity one can interpret the Noether charge in any bulk region as the heat content TS of its boundary surface. Further, the time evolution of spacetime metric in Einstein's theory arises due to the difference (Nsur−Nbulk) of suitably defined surface and bulk degrees of freedom. We show that this thermodynamic interpretation generalizes in a natural fashion to all Lanczos-Lovelock models of gravity. The Noether charge, related to time evolution vector field, in a bulk region of space is equal to the heat content TS of the boundary surface with the temperature T defined using local Rindler observers and S being the Wald entropy. Using the Wald entropy to define the surface degrees of freedom Nsur and Komar energy density to define the bulk degrees of freedom Nbulk, we can also show that the time evolution of the geometry is sourced by (Nsur−Nbulk). When it is possible to choose the foliation of spacetime such that metric is independent of time, the above dynamical equation yields the holographic equipartition for Lanczos-Lovelock gravity with Nsur=Nbulk. The implications are discussed. |