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Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity · Around

2009

Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity

Ohl, Thorsten, Schenkel, Alexander

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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.

Built on

N. Reshetikhin, Multiparameter quantum groups and twisted quasitriangular Hopf algebras,
1990
Earlier work this paper cites.
F. Lizzi, G. Mangano, G. Miele and M. Peloso, Cosmological perturbations and short distance physics from noncommutative geometry,
2003
Earlier work this paper cites.
M. Chaichian, A. Demichev, P. Presnajder and A. Tureanu, Space-time noncommutativity, discreteness of time and unitarity,
2004
Earlier work this paper cites.
P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp and J. Wess, A gravity theory on noncommutative spaces,
2005
Earlier work this paper cites.

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Then

B. P. Dolan, K. S. Gupta and A. Stern, Noncommutative BTZ black hole and discrete time,
2007
Later among the works it cites.
P. Aschieri, F. Lizzi and P. Vitale, Twisting all the way: from Classical Mechanics to Quantum Fields,
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2008
Later among the works it cites.
T. Ohl and A. Schenkel, Symmetry reduction in twisted noncommutative gravity with applications to cosmology and black holes,
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2009
Closest in time.

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