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A mechanism for emergent gravity on brane solutions in Yang-Mills matrix models is exhibited. Newtonian gravity and a partial relation between the Einstein tensor and the energy-momentum tensor can arise from the basic matrix model action,…

高能物理 - 理论 · 物理学 2014-09-11 Harold Steinacker

We consider a brane world scenario in which the bulk action is assumed to have the form of a generic function of the Ricci scalar $f(\mathcal{R})$ and derive the resulting Einstein field equations on the brane. In a constant curvature bulk…

广义相对论与量子宇宙学 · 物理学 2024-11-18 A. Borzou , H. R. Sepangi , S. Shahidi , R. Yousefi

Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not…

高能物理 - 理论 · 物理学 2009-07-24 Harold Steinacker

We show how gravitational actions, in particular the Einstein-Hilbert action, can be obtained from additional terms in Yang-Mills matrix models. This is consistent with recent results on induced gravitational actions in these matrix models,…

高能物理 - 理论 · 物理学 2014-11-20 Daniel N. Blaschke , Harold Steinacker

The framework of emergent gravity arising from Yang-Mills matrix models is developed further, for general noncommutative branes embedded in R^D. The effective metric on the brane turns out to have a universal form reminiscent of the open…

高能物理 - 理论 · 物理学 2010-01-14 Harold Steinacker

In this work we study braneworld models in generalized $f\left(R,T\right)$ gravity theories where the action depends on a function of the Ricci scalar $R$ and the trace of the stress-energy tensor $T$. We explore the so-called scalar-tensor…

广义相对论与量子宇宙学 · 物理学 2022-03-03 João Luís Rosa , A. S. Lobão , D. Bazeia

We study the effective gravitational theory on a brane in a six-dimensional Einstein-Maxwell model of flux compactification, regularizing a conical defect as a codimension-one brane. We employ the gradient expansion technique valid at low…

高能物理 - 理论 · 物理学 2008-11-26 Tsutomu Kobayashi , Tetsuya Shiromizu , Claudia de Rham

The field equations associated to Born-Infeld type brane theories are studied by using an auxiliary variables method. This approach hinges on the fact that the expressions defining the physical and geometrical quantities describing the…

高能物理 - 理论 · 物理学 2011-02-09 Efrain Rojas

This work deals with thick braneworld models, in an environment where the Ricci scalar is changed to accommodate the addition of two extra terms, one depending on the Ricci scalar itself, and the other, which takes into account the trace of…

高能物理 - 理论 · 物理学 2015-03-02 D. Bazeia , A. S. Lobao , R. Menezes

We consider a six-dimensional axisymmetric Einstein-Maxwell model of warped braneworlds. The bulk is bounded by two branes, one of which is a conical 3-brane and the other is a 4-brane wrapped around the axis of symmetry. The latter brane…

高能物理 - 理论 · 物理学 2008-11-26 Tsutomu Kobayashi , Yu-ichi Takamizu

We consider a brane-world of co-dimension one without the reflection symmetry that is commonly imposed between the two sides of the brane. Using the coordinate-free formalism of the Gauss-Codacci equations, we derive the effective Einstein…

高能物理 - 理论 · 物理学 2016-09-06 Richard A. Battye , Brandon Carter , Andrew Mennim , Jean-Philippe Uzan

We show how Newtonian gravity emerges on 4-dimensional non-commutative spacetime branes in Yang-Mills matrix models. Large matter clusters such as galaxies are embedded in large-scale harmonic deformations of the space-time brane, which…

高能物理 - 理论 · 物理学 2009-12-15 Harold Steinacker

We study the geometrical meaning of higher-order terms in matrix models of Yang-Mills type in the semi-classical limit, generalizing recent results arXiv:1003.4132 to the case of 4-dimensional space-time geometries with general Poisson…

高能物理 - 理论 · 物理学 2011-03-28 Daniel N. Blaschke , Harold Steinacker

We study linearized gravity in a six-dimensional Einstein-Maxwell model of warped braneworlds, where the extra dimensions are compactified by a magnetic flux. It is difficult to construct a strict codimension two braneworld with matter…

高能物理 - 理论 · 物理学 2008-11-26 Tsutomu Kobayashi , Masato Minamitsuji

We study fermions coupled to Yang-Mills matrix models from the point of view of emergent gravity. The matrix model Dirac operator provides an appropriate coupling for fermions to the effective gravitational metric for general branes with…

高能物理 - 理论 · 物理学 2010-02-23 Daniela Klammer , Harold Steinacker

We consider a warped brane world scenario with two branes, Gauss-Bonnet gravity in the bulk, and brane localised curvature terms. When matter is present on both branes, we investigate the linear equations of motion and distinguish three…

高能物理 - 理论 · 物理学 2009-11-10 Ph. Brax , N. Chatillon , D. A. Steer

We show how the gravity, gauge, and matter fields are induced on dynamically localized brane world (domain wall, vortex etc.). Solitonic solutions localized on a curved brane in certain field theories in higher dimensions are given in terms…

高能物理 - 理论 · 物理学 2007-05-23 Keiichi Akama

We demonstrate how various geometries can emerge from Yang-Mills type matrix models with branes, and consider the examples of Schwarzschild and Reissner-Nordstroem geometry. We provide an explicit embedding of these branes in R^{2,5} and…

高能物理 - 理论 · 物理学 2014-11-20 Daniel N. Blaschke , Harold Steinacker

We study in detail certain brane solutions with compact extra dimensions M^4 x K in the IKKT matrix model, with K being a two-dimensional rotating torus embedded in R^6. We focus on the compactification moduli and the fluctuations of K…

高能物理 - 理论 · 物理学 2013-11-27 Alexios P. Polychronakos , Harold Steinacker , Jochen Zahn

We look at general braneworlds in six-dimensional Einstein-Gauss-Bonnet gravity. We find the general matching conditions for the Einstein-Gauss-Bonnet braneworld, which remarkably turn out to give precisely the four-dimensional Einstein…

高能物理 - 理论 · 物理学 2009-11-10 Paul Bostock , Ruth Gregory , Ignacio Navarro , Jose Santiago
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