2014/05/21 by T. Padmanabhan · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #Equipartition theorem #Gravitation #Noncommutative and Quantum Gravity Theories #Space time #Spacetime #Time evolution #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1142/s021827181441003x
published in International Journal of Modern Physics D 23(12), 1441003 (World Scientific) · Essay selected for the Third Award in the Gravity Research Foundation Essay Contest, 2014 (with minor editing); for more details, see arXiv:1312.3253
arxiv created 2014/05/21 · openalex publication_date 2014/06/03 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
I show that in a general, dynamic spacetime, the rate of change of gravitational momentum is related to the difference between the number of bulk and boundary degrees of freedom. All static spacetimes maintain holographic equipartition; i.e. in these spacetimes, the number of degrees of freedom in the boundary is equal to the number of degrees of freedom in the bulk. It is the departure from holographic equipartition that drives the time evolution of the spacetime. This result, which is equivalent to Einstein's equations, provides an elegant, holographic, description of spacetime dynamics.