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  Symmetries of linearized gravity from adjoint operators

Aksteiner, S., & Bäckdahl, T. (2019). Symmetries of linearized gravity from adjoint operators. Journal of Mathematical Physics, 60(8): 082501. doi:10.1063/1.5092587.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0004-7F4D-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0004-7F51-3
Genre: Journal Article

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 Creators:
Aksteiner, Steffen1, Author
Bäckdahl, Thomas, Author
Affiliations:
1MPI for Gravitational Physics, Max Planck Society, Am Mühlenberg 1, 14476 Golm, DE, ou_24007              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Differential Geometry, math.DG,
 Abstract: Using a covariant formulation it is shown that the Teukolsky equation and the Teukolsky-Starobinsky identities for spin-1 and linearized gravity on a vacuum type D background are self-adjoint. This fact is used to construct symmetry operators for each of the four cases. We find both irreducible second order symmetry operators for spin-1, a known fourth order, and a new sixth order symmetry operator for linearized gravity. The results are connected to Hertz and Debye potentials and to the separability of the Teukolsky equation.

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 Dates: 2016-09-152019
 Publication Status: Published in print
 Pages: 20 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1609.04584
URI: http://arxiv.org/abs/1609.04584
DOI: 10.1063/1.5092587
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Title: Journal of Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 60 (8) Sequence Number: 082501 Start / End Page: - Identifier: -