Linearization instability of chiral gravity

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10.1103:PhysRevD.97.124068.pdf

Date

2018-6-27

Author

Altas, Emel
Tekin, Bayram

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Carrying out an analysis of the constraints and their linearizations on a spacelike hypersurface, we show that topologically massive gravity has a linearization instability at the chiral gravity limit about AdS(3). We also calculate the symplectic structure for all the known perturbative modes (including the log-mode) for the linearized field equations and find it to be degenerate (noninvertible); hence, these modes do not approximate exact solutions and so do not belong to the linearized phase space of the theory. Naive perturbation theory fails: the linearized field equations are necessary but not sufficient in finding viable linearized solutions. This has important consequences for both classical and possible quantum versions of the theory.

Subject Keywords

Physics and Astronomy (miscellaneous), STABILITY, SYMMETRIES

URI

https://hdl.handle.net/11511/52060

Journal

Physical Review D

DOI

https://doi.org/10.1103/physrevd.97.124068

Collections

Department of Physics, Article

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Citation Formats

E. Altas and B. Tekin, “Linearization instability of chiral gravity,” Physical Review D, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52060.