The invariant integral:some news
Earlier,this author introduced the invariant integral as a general mathematical tool for solving the physical problems based on conservation laws,without using partial differential equations,similarly to the calculus of variations.In this paper,the invariant integral was introduced for cosmic,gravitational,electromagnetic,and elastic fields combined.In a particular case of the united cosmicgravitational field,from the corresponding invariant integral the force F acting upon point mass m from point mass M and from the cosmic field was derived:.Here: G is the gravitational constant,Λ is the cosmological constant,and R is the distance between the masses.The first term provides Newtons gravitation and the second term the cosmic repulsion.This force was used to build an elementary non-relativistic cosmological model of Universe and estimate the size of Universe as well as explain the accelerated expansion of Universe recently observed by astrophysicists.The orbital speed of stars in galaxies was found out to be constant and equal to about 250 km/s.
invariant integral cosmic and gravitational field interaction force expansion of Universe
Genady P.Cherepanov
Honorary Life Member,the New York Academy of Sciences,USA
国际会议
北京
英文
1-9
2013-06-16（万方平台首次上网日期，不代表论文的发表时间）