Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Linearization instability for generic gravity in AdS spacetime
Download
10.1103:PhysRevD.97.024028.pdf
Date
2018-1-24
Author
Altas, Emel
Tekin, Bayram
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
131
views
96
downloads
Cite This
In general relativity, perturbation theory about a background solution fails if the background spacetime has a Killing symmetry and a compact spacelike Cauchy surface. This failure, dubbed as linearization instability, shows itself as non-integrability of the perturbative infinitesimal deformation to a finite deformation of the background. Namely, the linearized field equations have spurious solutions which cannot be obtained from the linearization of exact solutions. In practice, one can show the failure of the linear perturbation theory by showing that a certain quadratic (integral) constraint on the linearized solutions is not satisfied. For non-compact Cauchy surfaces, the situation is different and for example, Minkowski space having a non-compact Cauchy surface, is linearization stable. Here we study, the linearization instability in generic metric theories of gravity where Einstein's theory is modified with additional curvature terms. We show that, unlike the case of general relativity, for modified theories even in the non-compact Cauchy surface cases, there are some theories which show linearization instability about their anti-de Sitter backgrounds. Recent D dimensional critical and three dimensional chiral gravity theories are two such examples. This observation sheds light on the paradoxical behavior of vanishing conserved charges (mass, angular momenta) for non-vacuum solutions, such as black holes, in these theories.
Subject Keywords
POSITIVE ENERGY
,
STABILITY
,
SYMMETRIES
,
PROOF
,
MASS
URI
https://hdl.handle.net/11511/52084
Journal
Physical Review D
DOI
https://doi.org/10.1103/physrevd.97.024028
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Linearization instability of chiral gravity
Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2018-6-27)
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...
Linearization in stability in gravity theories
Altaş Kiracı, Emel; Tekin, Bayram; Department of Physics (2018)
In a nonlinear theory, such as gravity, physically relevant solutions are usually hard to ﬁnd. Therefore, starting from a background exact solution with symmetries, one uses the perturbation theory, which albeit approximately, provides a lot of information regarding a physical solution. But even this approximate information comes with a price: the basic premise of a perturbative solution is that it should be improvable. Namely, by going to higher order perturbation theory, one should be able to improve and ...
Dual metrics and nongeneric supersymmetries for a class of Siklos space-times
Baleanu, D; Baskal, S (2002-10-20)
The presence of Killing-Yano tensors implies the existence of nongeneric supercharges in spinning point particle theories on curved backgrounds. Dual metrics axe defined through their associated nondegenerate Killing tensors of valence two. Siklos space-times, which are the only nontrivial Einstein spares conformal to nonflat pp-waves are investigated with regard to the existence of their corresponding Killing and Killing-Yano, tensors. It is found that a class of Siklos space-times admit dual metrics and n...
Equivariant Reduction of Gauge Theories over Fuzzy Extra Dimensions
Kürkcüoğlu, Seçkin (IOP Publishing, 2012-2-8)
In SU(N) Yang-Mills theories on a manifold M, which are suitably coupled to a set of scalars, fuzzy spheres may be generated as extra dimensions by spontaneous symmetry breaking. This process results in gauge theories over the product space of the manifold M and the fuzzy spheres with smaller gauge groups. Here we present the SU(2)- and SU(2) x SU(2)-equivariant parametrization of U(2) and U(4) gauge fields on S-F(2), and S-F(2), x S-F(2), respectively and outline the dimensional reduction of these theories...
Discrete symmetries in quantum theory
Taşdan, İsmail Ufuk; Pak, Namık Kemal; Department of Physics (2015)
In this thesis, one of the most central problems of modern physics, namely the discrete symmetries, is discussed from various perspectives ranging from classical mechanics to relativistic quantum theory. The discrete symmetries, namely charge conjugation (C), parity (P), time reversal (T), which are connected by the so-called CPT Theorem are studied in detail. The anti-particles with a view to matter-anti-matter symmetry is also addressed and the anti-unitarity nature of the time reversal, as well as the CP...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
E. Altas and B. Tekin, “Linearization instability for generic gravity in AdS spacetime,”
Physical Review D
, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52084.