TY - JOUR

T1 - A novel derivation of the boundary term for the action in Lanczos–Lovelock gravity

AU - Chakraborty, Sumanta

AU - Parattu, Krishnamohan

AU - Padmanabhan, T.

N1 - Publisher Copyright:
© 2017, Springer Science+Business Media, LLC.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We present a novel derivation of the boundary term for the action in Lanczos–Lovelock gravity, starting from the boundary contribution in the variation of the Lanczos–Lovelock action. The derivation presented here is straightforward, i.e., one starts from the Lanczos–Lovelock action principle and the action itself dictates the boundary structure and hence the boundary term one needs to add to the action to make it well-posed. It also gives the full structure of the contribution at the boundary of the complete action, enabling us to read off the degrees of freedom to be fixed at the boundary, their corresponding conjugate momenta and the total derivative contribution on the boundary. We also provide a separate derivation of the Gauss–Bonnet case.

AB - We present a novel derivation of the boundary term for the action in Lanczos–Lovelock gravity, starting from the boundary contribution in the variation of the Lanczos–Lovelock action. The derivation presented here is straightforward, i.e., one starts from the Lanczos–Lovelock action principle and the action itself dictates the boundary structure and hence the boundary term one needs to add to the action to make it well-posed. It also gives the full structure of the contribution at the boundary of the complete action, enabling us to read off the degrees of freedom to be fixed at the boundary, their corresponding conjugate momenta and the total derivative contribution on the boundary. We also provide a separate derivation of the Gauss–Bonnet case.

KW - Boundary terms

KW - Gauss–Bonnet

KW - Lanczos–Lovelock

KW - Variational principle

UR - http://www.scopus.com/inward/record.url?scp=85028084879&partnerID=8YFLogxK

U2 - 10.1007/s10714-017-2289-5

DO - 10.1007/s10714-017-2289-5

M3 - Article

AN - SCOPUS:85028084879

SN - 0001-7701

VL - 49

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 9

M1 - 121

ER -