Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity

2018/05/29 by Marc Henneaux, Cédric Troessaert · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gravitation #Hamiltonian (control theory) #Homogeneous space #Infinity #Noncommutative and Quantum Gravity Theories #Null (SQL) #Symmetry (geometry) #Symmetry group #Tensor (intrinsic definition) #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep07(2018)171

23 pages

arxiv created 2018/05/29 · openalex created_date 2018/06/13 · openalex publication_date 2018/07/01 · arxiv updated 2018/08/15 · openalex updated_date 2026/08/05

Abstract

A bstract We present a new set of asymptotic conditions for gravity at spatial infinity that includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of the complete BM S 4 algebra, and leads to a non-divergent behaviour of the Weyl tensor as one approaches null infinity. We then extend the analysis to the coupled Einstein-Maxwell system and obtain as canonically realized asymptotic symmetry algebra a semi-direct sum of the BM S 4 algebra with the angle dependent u (1) transformations. The Hamiltonian charge-generator associated with each asymptotic symmetry element is explicitly written. The connection with matching conditions at null infinity is also discussed.

Citations

• Relaxing the Parity Conditions of Asymptotically Flat Gravity
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Asymptotic Symmetries in Gravitational Theory
• The BMS4 algebra at spatial infinity

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• Asymptotic symmetry of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theory