Evolution of soliton stars in the Lee-Wick model

Physics

Scientific paper

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Nonlinear Or Nonlocal Theories And Models

Scientific paper

We study the evolution of soliton stars in the Lee-Wick model at finite temperatures. Our discussion uses exact temperature dependence at Tc, the critical temperature of the phase transition, and carries on until the solitons attain their present cold configuration. The effects of gravity at Tc have been included by coupling the Newtonian gravitational field to the energy density. It turns out that the gravitational energy, though smaller by at least an order of magnitude compared to the surface term, has the important effect of removing the metastable equilibrium state for a rather small number of particles. This however, does not correspond to the Schwarzschild criterion of black-hole formation but precludes the existence of any stable soliton star configuration. Further, the critical number of particles at Tc depends on the parameters of the theory and, by carefully choosing these, it is indeed possible in some cases to have solitons that survive until the present time. We discuss the properties of such stars.

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