Isaac Scientific Publishing

Advances in Astrophysics

Maxwell and Scalar Fields in Nonstandard Cosmology

Download PDF (394 KB) PP. 43 - 56 Pub. Date: May 2, 2020

DOI: 10.22606/adap.2020.52002


  • Günter Scharf*
    Physics Institute, University of Zürich, Winterthurerstr. 190, CH-8057 Zürich, Switzerland


We study the scalar field equation and Maxwell equations in the nonstandard background previously investigated. We separate the angular dependence by expanding in spherical harmonics and solve the radial wave equations exactly by separating the variables t and r. We obtain electric and magnetic multipole radiation as in vacuum without gravitation, but the frequencies get redshifted. The exact results are essential for understanding the Planckian character of CMB properly.




[1] Scharf G., 2019, Perturbation theory in nonstandard cosmology, Advances Astrophys.4 (4), 133 arXiv 1905.02526

[2] Scharf G., 2020, Cosmology without dark matter, Advances Astrophys. 5 (1), 1

[3] Weinberg St.,1972, Gravitation and Cosmology, John Wiley, Sons

[4] Scharf G., 1994, From Electrostatics to Optics, Springer-Verlag, Berlin

[5] Varshalovich D.A., Moskalev A.N. Khersonskii V.K.,1988, Quantum Theory of Angular Momentum, World Scientific

[6] Blatt J.M.,Weisskopf V.F.,1952, Theoretical Nuclear Physics, John Wiley, Sons

[7] Abramowitz M., Stegun I.A., 1965, Handbook of Mathematical Functions, Dover Publ. Inc., New York

[8] Coddington E.A., Levinson N.,1955, Ordinary differential equations, McGraw-Hill Book Comp., Inc., New York

[9] MatyshevA.A., Fohtung E.,2009, On the Computation and Application of Bessel Functions with Pure Imaginary Indices, arXiv:0910.0365