Ricci-flat branes

Brecher, Dominic; Perry, Malcolm J.

doi:10.1016/s0550-3213(99)00659-8

Cited by 53 publications

(144 citation statements)

References 44 publications

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“…Since self-duality of the spin connection in seven dimensions implies that the 3-form defined in (26) is closed and co-closed and, therefore, G 2 holonomy (noted in [54,55], proved explicitly in [25] and used to rederive the metric of [49] in [56]) we have shown that our equations (30) (or equivalently (17), (18) and (21)) indeed describe a manifold of G 2 holonomy.…”

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confidence: 63%

An eight-dimensional approach to G2 manifolds

Hernández

Sfetsos

2002

Physics Letters B

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We develop a systematic approach to G 2 holonomy manifolds with an SU(2) × SU(2) isometry using maximal eight-dimensional gauged supergravity to describe D6-branes wrapped on deformed three-spheres. A quite general metric ansatz that generalizes the celebrated Bryant-Salamon metric involves nine functions. We show that only six of them are the independent ones and derive the general first order system of differential equations that they obey. As a byproduct of our analysis, we generalize the notion of the twist that relates the spin and gauge connections in a way that involves non-trivially the scalar fields.

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confidence: 63%

An eight-dimensional approach to G2 manifolds

Hernández

Sfetsos

2002

Physics Letters B

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“…We use an iterative convergence scheme to relax the bulk equations (15). The finite differencing, boundary conditions and scheme details are stated in appendix 8.3.…”

Section: Numerical Schemementioning

confidence: 99%

Relativistic stars in Randall-Sundrum gravity

2002

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The non-linear behavior of Randall-Sundrum gravity with one brane is examined. Due to the non-compact extra dimension, the perturbation spectrum has no mass gap, and the long wavelength effective theory is only understood perturbatively. The full 5-dimensional Einstein equations are solved numerically for static, spherically symmetric matter localized on the brane, yielding regular geometries in the bulk with axial symmetry. An elliptic relaxation method is used, allowing both the brane and asymptotic radiation boundary conditions to be simultaneously imposed. The same data that specifies stars in 4-dimensional gravity, uniquely constructs a 5-dimensional solution. The algorithm performs best for small stars (radius less than the AdS length) yielding highly non-linear solutions, core photons being redshifted by up to Z ≃ 12. An upper mass limit is observed for these small stars, and the geometry shows no global pathologies. The geometric perturbation is shown to remain localized near the brane at high densities, the confinement interestingly increasing for both small and large stars as the upper mass limit is approached. Furthermore, the static spatial sections are found to be approximately conformal to those of AdS. We show that the intrinsic geometry of large stars, with radius several times the AdS length, is described by 4-dimensional General Relativity far past the perturbative regime, the largest stars being tested up to a core redshift of Z ≃ 2.1. This indicates that the non-linear long wavelength effective action remains local, even though the perturbation spectrum has no mass gap. The implication is that RandallSundrum gravity, with localized brane matter, reproduces relativistic astrophysical solutions, such as neutron stars and massive black holes, consistent with observation.

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“…These are the Ricci-flatness conditions given in [3,4,6]. Also the supersymmetry variations factorize in a part proportional to the projection operator of the p-brane and the following conditions on ǫ coming from the internal and external metrics:∇…”

Section: Ricci-flat Branes and Intersectionsmentioning

confidence: 99%