Causal Space-Times on a Null-Lattice
Martin Schaden - Rutgers University
Parattu, K. (2016). Variational Principle for Gravity with Null Boundaries. Perimeter Institute. https://pirsa.org/16030127
Parattu, Krishnamohan. Variational Principle for Gravity with Null Boundaries. Perimeter Institute, Mar. 17, 2016, https://pirsa.org/16030127
@misc{ pirsa_PIRSA:16030127,
doi = {10.48660/16030127},
url = {https://pirsa.org/16030127},
author = {Parattu, Krishnamohan},
keywords = {Quantum Gravity},
language = {en},
title = {Variational Principle for Gravity with Null Boundaries},
publisher = {Perimeter Institute},
year = {2016},
month = {mar},
note = {PIRSA:16030127 see, \url{https://pirsa.org}}
}
The fact that the Einstein-Hilbert action, by itself, does not lead to a well-posed variational principle has become textbook knowledge. It can be made well-posed by the addition of suitable boundary terms. There are many boundary terms available in the literature, of which the most famous and most widely used is the Gibbons-Hawking-York (GHY) boundary term. The GHY term is ostensibly defined only for a non-null boundary. There have been very few efforts in the literature to extend its definition to null boundaries. The speaker will present his group's work towards finding a boundary term to render the Einstein-Hilbert action well-posed in the presence of null boundaries. He shall discuss a proposed boundary term, associated boundary conditions, outstanding issues and possible applications.