Comments on noncommutative gravity

Álvarez‐Gaumé, Luis; Meyer, Frank; Vázquez-Mozo, Miguel Angel

doi:10.1016/j.nuclphysb.2006.07.009

Cited by 110 publications

(156 citation statements)

References 52 publications

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“…The electric (magnetic) charges there reduce the radius of otherwise S 2 and the effective radius can be expressed as h = r e ϕ(r) , where e ϕ(r) = e 2ϕ h − G N rr h 17) where the constant ϕ h is the value of ϕ at the event horizon r h . Then, the generic dS RN-like black hole geometry, to O(G N ) in the theory, is given by…”

Section: Spherically Symmetric Black Holesmentioning

confidence: 99%

Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions

Kar¹

2006

J. High Energy Phys.

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We investigate a curved brane-world, inspired by a noncommutative D 3 -brane, in a type IIB string theory. We obtain, an axially symmetric and a spherically symmetric, (anti) de Sitter black holes in 4D. The event horizons of these black holes possess a constant curvature and may be seen to be governed by different topologies. The extremal geometries are explored, using the noncommutative scaling in the theory, to reassure the attractor behavior at the black hole event horizon. The emerging two dimensional, semi-classical, black hole is analyzed to provide evidence for the extra dimensions in a curved brane-world. It is argued that the gauge nonlinearity in the theory may be redefined by a potential in a moduli space. As a result, D = 11 and D = 12 dimensional geometries may be obtained at the stable extrema of the potential.

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Section: Spherically Symmetric Black Holesmentioning

confidence: 99%

Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions

Kar¹

2006

J. High Energy Phys.

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“…[1,2]). In this paper we would like to draw attention to interrelations between noncommutative quantum field theories and quantum groups [3].…”

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confidence: 99%

Twists of quantum groups and noncommutative field theory

Kulish

2007

J Math Sci

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The role of quantum universal enveloping algebras of symmetries in constructing a noncommutative geometry of space-time and corresponding field theory is discussed. It is shown that in the framework of the twist theory of quantum groups, the noncommutative (super)space-time defined by coordinates with Heisenberg commutation relations, is (super)Poincaré invariant, as well as the corresponding field theory. Noncommutative parameters of global transformations are introduced.

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“…These solutions can thus be regarded as the first-order noncommutative contributions to full noncommutative Einstein-Maxwell pp-waves. To date, there are several extensions of noncommutative gravity [3,4,6,8], all of them sharing the property that corrections to the Einstein-Hilbert action start at order two in . Barring thus the eventuality that some specific symmetries might get lost through the coupling to a SW gauge field, our results do not depend on the particular model chosen for noncommutative gravity.…”

Section: Discussionmentioning

confidence: 99%

“…The first one is that Einstein gravity should remain applicable. This is justifiable since, as already mentioned, in more fundamental approaches [4,6] and in many deformation approaches [3,8] noncommutative corrections start at order two in . The second hypothesis is that noncommutative gravity modifications should already occur at order one in , since matter distributions from field theory classical actions receive contributions to this order.…”

Section: Introductionmentioning

confidence: 92%

Noncommutative Einstein-Maxwellpp-waves

Mǎrculescu

Ruiz

2006

Phys. Rev. D

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The field equations coupling a Seiberg-Witten electromagnetic field to noncommutative gravity, as described by a formal power series in the noncommutativity parameters , is investigated. A large family of solutions, up to order one in , describing Einstein-Maxwell null pp-waves is obtained. The order-one contributions can be viewed as providing noncommutative corrections to pp-waves. In our solutions, noncommutativity enters the spacetime metric through a conformal factor and is responsible for dilating/contracting the separation between points in the same null surface. The noncommutative corrections to the electromagnetic waves, while preserving the wave null character, include constant polarization, higher harmonic generation, and inhomogeneous susceptibility. As compared to pure noncommutative gravity, the novelty is that nonzero corrections to the metric already occur at order one in .

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Comments on noncommutative gravity

Cited by 110 publications

References 52 publications

Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions

Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions

Twists of quantum groups and noncommutative field theory

Noncommutative Einstein-Maxwellpp-waves

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