Classification of Surface Charges for a Spin 2 Field on a Curved Background Solution |
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| Authors: | Barnich Glenn Leclercq Serge Spindel Philippe |
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| Institution: | (1) Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de Bruxelles, Campus Plaine CP 231, B1050 Brussels, Belgium;(2) National Fund for Scientific Research, Belgium;(3) Mécanique et Gravitation, Faculté des Sciences, Université de Mons-Hainaut, 20; Place du Parc, B7000 Mons, Belgium |
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| Abstract: | Within the framework of local BRST cohomology, we establish that nontrivial conserved n– 2 forms for a spin 2 field on a background corresponding to a solution to Einstein's equation with or without cosmological constant are characterized uniquely by the Killing vector fields of the background. This result is crucial in various applications in gravitation, in particular for the study of consistent interactions of spin 2 fields on curved backgrounds. It provides a nontrivial generalization of an analogous result proved in the flat case. |
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| Keywords: | spin 2 fields surface charges characteristic cohomology |
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