TY - JOUR
T1 - Variational principle for gravity with null and non-null boundaries
T2 - a unified boundary counter-term
AU - Parattu, Krishnamohan
AU - Chakraborty, Sumanta
AU - Padmanabhan, T.
N1 - Publisher Copyright:
© 2016, The Author(s).
PY - 2016/3/1
Y1 - 2016/3/1
N2 - It is common knowledge that the Einstein–Hilbert action does not furnish a well-posed variational principle. The usual solution to this problem is to add an extra boundary term to the action, called a counter-term, so that the variational principle becomes well-posed. When the boundary is spacelike or timelike, the Gibbons–Hawking–York counter-term is the most widely used. For null boundaries, we had proposed a counter-term in a previous paper. In this paper, we extend the previous analysis and propose a counter-term that can be used to eliminate variations of the “off-the-surface” derivatives of the metric on any boundary, regardless of its spacelike, timelike or null nature.
AB - It is common knowledge that the Einstein–Hilbert action does not furnish a well-posed variational principle. The usual solution to this problem is to add an extra boundary term to the action, called a counter-term, so that the variational principle becomes well-posed. When the boundary is spacelike or timelike, the Gibbons–Hawking–York counter-term is the most widely used. For null boundaries, we had proposed a counter-term in a previous paper. In this paper, we extend the previous analysis and propose a counter-term that can be used to eliminate variations of the “off-the-surface” derivatives of the metric on any boundary, regardless of its spacelike, timelike or null nature.
UR - http://www.scopus.com/inward/record.url?scp=84960897678&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-016-3979-y
DO - 10.1140/epjc/s10052-016-3979-y
M3 - Article
AN - SCOPUS:84960897678
SN - 1434-6044
VL - 76
JO - European Physical Journal C
JF - European Physical Journal C
IS - 3
M1 - 129
ER -