2010
DOI: 10.1142/9789814289313_0010
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Gravitating Yang—Mills Fields in All Dimensions

Abstract: A classification of gravitating Yang-Mills systems in all dimensions is presented. These systems are set up so that they support finite energy solutions. Both regular and black hole solutions are considered, the former being the limit of the latter for vanishing event horizon radius. Special attention is paid to systems necessarily involving higher order Yang-Mills curvature terms, along with the option of incorporating higher order terms in the Riemann curvature. The scope here is restricted to Einstein syste… Show more

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Cited by 8 publications
(12 citation statements)
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References 113 publications
(246 reference statements)
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“…[18]. There, we have studied SOð5Þ and SUð3Þ gauged Higgs models featuring "Chern-Simons" dynamics, where the "Chern-Simons" densities employed are what we have referred to as Higgs-Chern-Simons [5,25,27] densities. [As it happens, the magnetic (topological) charge in the SOð5Þ model was zero while in the SUð3Þ model it was nonzero, in both cases with nonzero Q e .]…”
Section: Summary and Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…[18]. There, we have studied SOð5Þ and SUð3Þ gauged Higgs models featuring "Chern-Simons" dynamics, where the "Chern-Simons" densities employed are what we have referred to as Higgs-Chern-Simons [5,25,27] densities. [As it happens, the magnetic (topological) charge in the SOð5Þ model was zero while in the SUð3Þ model it was nonzero, in both cases with nonzero Q e .]…”
Section: Summary and Discussionmentioning
confidence: 99%
“…Multiplying the equation of motion of the function b resulting from Eq. (27) with the function b we have…”
Section: Electric Charge and Angular Momentummentioning
confidence: 99%
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“…An order-of-magnitude estimate will be used to present what the value of the vacuum energy should be in the neighborhood of Planck time in the advent of nucleation of a new universe. The significance of Equation (4) is that at very high temperatures, it re enforces what the author brought up with Tigran Tchrakian, in Bremen [5], August 29 th , 2008. i.e., one would like to have a uniform value of the cosmological constant in the gravitating Yang-Mills fields in quantum gravity in order to keep the gauges associated with instantons from changing. When one has, especially for times 1 2 , t t < Planck time P t and 1 2 t t ≠ , with temperature ( ) ( ) T t T t ≠ for times 1 2 , t t < Planck time P t and 1 2 t t ≠ , such that gauge invariance necessary for soliton (instanton) stability is broken [5].…”
Section: Vacuum Energy Sources and Commentarymentioning
confidence: 74%
“…These solutions have led to certain revisions of some of the basic concepts of black hole physics based on the uniqueness and no-hair theorem. It is now well-known that this theory possesses "hairy" black hole solutions, whose metric is not a member of the Kerr-Newmann family (see [10] for a detailed review in 4 dimensions and [11] for a recent review in higher dimensions). Solutions of the EYM equations were also investigated in the presence of cosmological constant [12,13].…”
Section: Introductionmentioning
confidence: 99%