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- W2012318452 abstract "We find instanton/cosmological solutions with biaxial Bianchi-IX symmetry, involving non-trivial spatial dependence of the $bbbc P^{1}$- and $bbbc P^{2}$-sigma-models coupled to gravity. Such manifolds arise in N=1, $d=4$ supergravity with supermatter actions and hence the solutions can be embedded in supergravity. There is a natural way in which the standard coordinates of these manifolds can be mapped into the four-dimensional physical space. Due to its special symmetry, we start with $bbbc P^{2}$ with its corresponding scalar Ansatz; this further requires the spacetime to be $SU(2) times U(1)$-invariant. The problem then reduces to a set of ordinary differential equations whose analytical properties and solutions are discussed. Among the solutions there is a surprising, special-family of exact solutions which owe their existence to the non-trivial topology of $bbbc P^{2}$ and are in 1-1 correspondence with matter-free Bianchi-IX metrics. These solutions can also be found by coupling $bbbc P^{1}$ to gravity. The regularity of these Euclidean solutions is discussed -- the only possibility is bolt-type regularity. The Lorentzian solutions with similar scalar Ansatz are all obtainable from the Euclidean solutions by Wick rotation." @default.
- W2012318452 created "2016-06-24" @default.
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- W2012318452 date "2004-04-09" @default.
- W2012318452 modified "2023-10-16" @default.
- W2012318452 title " P 2 and P 1 sigma models in supergravity: Bianchi type IX instantons and cosmologies" @default.
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- W2012318452 doi "https://doi.org/10.1088/0264-9381/21/9/014" @default.
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