Variational principle for gravity with null and non-null boundaries: a unified boundary counter-term

KRISHNA MOHAN PARATTU, Sumanta Chakraborty, T. Padmanabhan

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

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.

Original languageEnglish
Article number129
JournalEuropean Physical Journal C
Volume76
Issue number3
DOIs
StatePublished - 1 Mar 2016

Fingerprint Dive into the research topics of 'Variational principle for gravity with null and non-null boundaries: a unified boundary counter-term'. Together they form a unique fingerprint.

Cite this