Cosmological and black hole spacetimes in twisted noncommutative gravity

Thorsten Ohl; Alexander Schenkel

doi:10.1088/1126-6708/2009/10/052

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Cosmological and black hole spacetimes in twisted noncommutative gravity

Thorsten Ohl and Alexander Schenkel

Published 20 October 2009 • Journal of High Energy Physics, Volume 2009, JHEP10(2009)

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Author e-mails

ohl@physik.uni-wuerzburg.de

aschenkel@physik.uni-wuerzburg.de

Author affiliations

Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

Dates

Received 16 June 2009
Accepted 27 September 2009
Published 20 October 2009

Citation

Thorsten Ohl and Alexander Schenkel JHEP10(2009)052

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DOI

https://doi.org/10.1088/1126-6708/2009/10/052

E-print

http://arxiv.org/abs/0906.2730

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Abstract

We derive noncommutative Einstein equations for abelian twists and their solutions in consistently symmetry reduced sectors, corresponding to twisted FRW cosmology and Schwarzschild black holes. While some of these solutions must be rejected as models for physical spacetimes because they contradict observations, we find also solutions that can be made compatible with low energy phenomenology, while exhibiting strong noncommutativity at very short distances and early times.

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References

[1]
P. Aschieri et al., 2005 A gravity theory on noncommutative spaces, Class. Quant. Grav. 22 3511 [hep-th/0504183]
IOPscience Preprint SPIRES Google Scholar
[2]
P. Aschieri, M. Dimitrijević, F. Meyer and J. Wess, 2006 Noncommutative geometry and gravity, Class. Quant. Grav. 23 1883 [hep-th/0510059]
IOPscience Preprint SPIRES Google Scholar
[3]
P. Aschieri, 2006 Noncommutative symmetries and gravity, J. Phys. Conf. Ser. 53 799 [hep-th/0608172]
IOPscience Preprint SPIRES Google Scholar
[4]
P. Schupp and S. Solodukhin, Exact solutions in non-commutative gravity, talk given at Bayrischzell workshop on non-commutativity and physics, Bayrischzell Germany, 11-14 May, 2007
Google Scholar
Exact black hole solutions in noncommutative gravity, [0906.2724]
Preprint SPIRES Google Scholar
[5]
T. Ohl and A. Schenkel, 2009 Symmetry reduction in twisted noncommutative gravity with applications to cosmology and black holes J. High Energy Phys. JHEP01(2009)084 [0810.4885]
IOPscience Preprint SPIRES Google Scholar
[6]
N. Reshetikhin, 1990 Multiparameter quantum groups and twisted quasitriangular Hopf algebras, Lett. Math. Phys. 20 331
Crossref Google Scholar
[7]
C. Jambor and A. Sykora, Realization of algebras with the help of *-products, [hep-th/0405268]
Preprint SPIRES Google Scholar
[8]
M. Chaichian, A. Demichev, P. Prešnajder and A. Tureanu, 2001 Space-time noncommutativity, discreteness of time and unitarity, Eur. Phys. J. C 20 767 [hep-th/0007156]
Crossref Preprint SPIRES Google Scholar
A.P. Balachandran, T.R. Govindarajan, A.G. Martins and P. Teotonio-Sobrinho, 2004 Time-space noncommutativity: quantised evolutions J. High Energy Phys. JHEP11(2004)068 [hep-th/0410067]
IOPscience Preprint SPIRES Google Scholar
[9]
B.P. Dolan, K.S. Gupta and A. Stern, 2007 Noncommutative BTZ black hole and discrete time, Class. Quant. Grav. 24 1647 [hep-th/0611233]
IOPscience Preprint SPIRES Google Scholar
[10]
P. Aschieri and L. Castellani, 2009 Noncommutative D=4 gravity coupled to fermions J. High Energy Phys. JHEP06(2009)086 [0902.3817]
IOPscience Preprint SPIRES Google Scholar
P. Aschieri and L. Castellani, 2009 Noncommutative supergravity in D=3 and D=4 J. High Energy Phys. JHEP06(2009)087 [0902.3823]
IOPscience Preprint SPIRES Google Scholar
[11]
P. Aschieri, F. Lizzi and P. Vitale, 2008 Twisting all the way: from classical mechanics to quantum fields, Phys. Rev. D 77 025037 [0708.3002]
Crossref Preprint SPIRES Google Scholar
P. Aschieri, Star product geometries, [0903.2457]
Preprint SPIRES Google Scholar
[12]
T. Ohl and A. Schenkel, Classical and quantum field fluctuations on twisted noncommutative backgrounds, work in preparation
Google Scholar
[13]
F. Lizzi, G. Mangano, G. Miele and M. Peloso, 2002 Cosmological perturbations and short distance physics from noncommutative geometry J. High Energy Phys. JHEP06(2002)049 [hep-th/0203099]
IOPscience Preprint SPIRES Google Scholar
R. Brandenberger and P.-M. Ho, 2002 Noncommutative spacetime, stringy spacetime uncertainty principle and density fluctuations, Phys. Rev. D 66 023517 [hep-th/0203119]
Crossref Preprint SPIRES Google Scholar
R. Brandenberger and P.-M. Ho, 2002 AAPPS Bull. 12N1 10
Google Scholar
Q.-G. Huang and M. Li, 2003 CMB power spectrum from noncommutative spacetime J. High Energy Phys. JHEP06(2003)014 [hep-th/0304203]
IOPscience Preprint SPIRES Google Scholar
Q.-G. Huang and M. Li, 2003 Noncommutative inflation and the CMB multipoles J. Cosmol. Astropart. Phys. JCAP11(2003)001 [astro-ph/0308458]
IOPscience Preprint SPIRES Google Scholar
S. Tsujikawa, R. Maartens and R. Brandenberger, 2003 Non-commutative inflation and the CMB, Phys. Lett. B 574 141 [astro-ph/0308169]
Crossref Preprint SPIRES Google Scholar
H.-C. Kim, J.H. Yee and C. Rim, 2005 Density fluctuations in kappa-deformed inflationary universe, Phys. Rev. D 72 103523 [gr-qc/0506122]
Crossref Preprint SPIRES Google Scholar
A.H. Fatollahi and M. Hajirahimi, 2006 Noncommutative black-body radiation: Implications on cosmic microwave background, Europhys. Lett. 75 542 [astro-ph/0607257]
IOPscience Preprint SPIRES Google Scholar
E. Akofor, A.P. Balachandran, S.G. Jo, A. Joseph and B.A. Qureshi, 2008 Direction-dependent CMB power spectrum and statistical anisotropy from noncommutative geometry J. High Energy Phys. JHEP05(2008)092 [0710.5897]
IOPscience Preprint SPIRES Google Scholar
E. Akofor, A.P. Balachandran, A. Joseph, L. Pekowsky and B.A. Qureshi, 2009 Constraints from CMB on spacetime noncommutativity and causality violation, Phys. Rev. D 79 063004 [0806.2458]
Crossref Preprint SPIRES Google Scholar
[14]
E. Di Grezia and G. Esposito, Non-commutative Kerr black hole, [0906.2303]
Preprint SPIRES Google Scholar

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