Null boundary terms for Lanczos–Lovelock gravity

2018/06/30 by Sumanta Chakraborty, Krishnamohan Parattu · 1 citation
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Cosmology and Gravitation Theories #Differential geometry #Dirichlet boundary condition #Mixed boundary condition #Noncommutative and Quantum Gravity Theories #Null (SQL) #gr-qc

paper · pdf · doi:10.1007/s10714-019-2502-9

published as Gen. Rel. Grav. 51, 23 (2019) · Editor's Choice; Published Version; 42 pages; For v4, affiliations corrected; Erratum added for the same in the journal version

openalex publication_date 2019/02/01 · arxiv created 2019/03/26 · arxiv updated 2019/03/27 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

We derive boundary terms appropriate for the general Lanczos-Lovelock action on a null boundary, when Dirichlet boundary conditions are imposed. We believe that these boundary terms have been derived for the first time in the literature. In this derivation, we rely only on the structure of the boundary variation of the action for Lanczos-Lovelock gravity. We also provide the null boundary term for Gauss-Bonnet gravity separately.

Citations

• Is the gravitational action additive?
• Splitting of an extremal Reissner-Nordström throat via quantum tunneling
• Counterterms in dimensionally continued AdS gravity
• Boundary terms, variational principles, and higher derivative modified gravity
• On global conservation laws at null infinity
• On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
• The Confrontation between General Relativity and Experiment
• Holographic Complexity Equals Bulk Action?
• 3+1 Formalism in General Relativity: Bases of Numerical Relativity
• Field Equations for Lovelock Gravity: An Alternative Route

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