For the scalar type of perturbations FS, the resulting approximate analytical polarization is βS ≈ -CFs(τd)Δτd, where τd and Δτd are the decoupling time and the decoupling duration, respectively, and C ≈ (0.08 - 0.12) depending on recombination models.
On this basis, weintroduce the spontaneous baryo/leptogenesis into Brans-Dicke cosmology, where thegravitational scalar of Brans-Dicke theory is assumed to be coupled with the current ofbaryon (or lepton).
Using the scalar automorphy kernel ofD, we construct a ?*,G-invariant kernel onD×D×D.
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We say that {λn} is aninterpolating sequence forEp if the set of all scalar sequences {f (λn)}, with f εEp, coincides with ?p.
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We generalize the celebrated theorem of Stein on the maximal operator of a sequence of translation invariant operators, from the scalar case to vector valued functions.
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We introduce a family of linear differential operators ${\cal K}^n =(-i)^nP_n^{\cal M}(i\frac{d}{dt})$, called the chromatic derivatives associated with M, which are orthonormal with respect to a suitably defined scalar product.
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First,nonnegative solutions for scalar equation with spatial discontinuities are studied.
Recently, although many authors have calculated the masses of the neutron stars, the yielded upper limits of their masses are yet quite different, as shown in Fig. 1. The curves A-G are yielded with nonrelativistic theories: N and 0, with relativistic ones, and S is the result of our present work. For the purpose of comparison, the results observed by authors P. C. Joss, et al. are shown at the right in Fig. 1. It is obvious that for the high densities (above 2×1014 g/cm3) the calculation of nonrelativistic...
Ever since the identification of the neutron star as the core of a pulsar, much effort had been directed to the study of the equation of state of neutron matter at nuclear and supernuclear densities. The traditional approach of the nuclear physicists in employing static two-body nucleon-nucleon potentials to the study of the properties of nuclear matter becomes questionable in the supernuclear density. Thus physicists have to search for a novel method which would be applicable for this special problem.Of al...
Through introducing a direct coupling between the scalar field and the Higgs field,a possible plan is obtained,in which mass of monopole is redu- ced.The magnetic monopole having lighter mass is advantageous to avoid the conflict between cosmology and grand unification theory.
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