Volume 54 | Number 1 | Year 2018 | Article Id. IJMTT-V54P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P502
Einstein’s
field equation for a homogeneous spherically symmetric space-time with the
field of gravitations viz: Magnetic field and zero mass scalar field has been
considered. The solution for the cosmic parameters ‘l ’ and ‘ m ’, which are function of ‘t’ only
are obtained in three cases viz: (i) m ¹ 0, n ¹ 0,v ¹ 0 (ii) m = 0,n ¹ 0,v ¹ 0 (iii) n = 0, m ¹ 0, v ¹ 0 , here m and n are the
components of electromagnetic potential where as V is the scalar potential of
the zero mass scalar field. The variation of l, m,m,n and v with the cosmic time has
been discussed followed by the concluding remark.
[1] Ayangar, B.R.N. and G. Mohanty(1985), Interacting mass less scalar and source free electromagnetic field, Acta. Phys. Polon B916), pp.13-20.
[2] Bonnor, W.B (1954), Magnetic field in general relativity. Proc. Phys. E0c.67, pp.225-232.
[3] Kashyap, J.N.S(1979), Coupled electromagnetic and scalar fields in cylindrically symmetric space- time. Act. Phys. Acad. Ecl. Hung. 45(4), p.309.
[4] Rao, J.R., Tiwari, R.N. and Roy, A.R.(1973), A Class of exact solutions for coupled electromagnetic and scalar fields for Einstein-Rosen metric Part IA. Ann. Phys. 78, p.533.
[5] Datta, C.R.(1975), Some scalar and electromagnetic distributions in general theory of relativity. Indian Institute of Technology, Kanpur, India, P.80.
[6] S.N.Jena, R.N.patra, R.R.Swain(2015), An isotropic radiating model as a mutual effect of perfect fluid, cloud massive string and magnetic field in Bimetric Theory-International Journal of Mathematics Research, Vol.7(10, pp.69-73.
[7] Jena, S.N., Patra, R.N., Swain, R.R(2015), Existence of stift fluid model as a coupling effect of perfect fluid and magnetic field in Bimetric Relativity-International Journal of Physics and Mathematical Sciences, Vol.5(3), pp.14-17.
[8] S.N.Jena, R.N.Patra, R.R.Swain(2015), Non-existence of string cosmological models in presence of magnetic field in Bimetric theory, IJISET, Vol.2(6), pp.721-727.
R.N.Patra, "Spherically Symmetric Space-Time with Magnatic Field and Zero Mass Scalar Field," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 1, pp. 11-23, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P502