On the non-existence of time-dependent fluid spheres in general relativity obeying an equation of state

This conjecture, which is similar in spirit to the Hodge conjecture, is one of the central conjectures about algebraic independence and transcendental numbers, and is related to many

Finally we describe our approach. In Subsection 4.1, using the comparison of the solutions at u = b, and following ideas in [16,17], we study the behavior of the solutions in

(ii) Secondly, when using analytical expressions of virial coef- ficients, the radius of convergence of the series has to be calculated in order to deduce the volume range on which

Some of the results of our model EOS for the excess internal energy Ue", excess pressure pex, and excess Helmholtz free energy FeX for hydrogen plasma are given

They show that the domi- nant nuclear species (N,Z) is essentially determined by the neutron chemical potential, pn, independently of the concentration of neutrini and that,

(particulary in 2 and 3 D.) have been carried out on systems subject to periodic boundary conditions, has not permitted to consider the questions dealt with in this paper. We

and the equations (6), (7) describe the leading corrections to the mean field results for the magnetization and susceptibility which are due to the one-loop diagram

- Higher order terms in the equation of state are derived and studied numerically for the Ising model, A brief comparison is made with corresponding results for exactly