The formulation of vector potential evolution equation on rapidly rotating and accreting neutron star in the frame of Zero Angular Momentum Observers (ZAMO)

Abstract

The equation for the dynamics of the magnetic field can explain the decrease in the magnetic field due to accretion. Maxwell’s relativistic equations formulate these equations. The formulation of the solution to the Maxwell equation is said to be correct if it is by the Schwarzschild space-time case by formulating the vector potential evolution equation. Maxwell’s second relativistic equation, the covariance tensor of the electromagnetic field, and the vector potential are used to obtain the equation for the evolution of the vector potential. All equations are calculated in the Zero Angular Momentum Observers (ZAMO) framework. The purpose of this research is to formulate the vector potential evolution equation for each component in a rapidly rotating and accreting neutron star. The results obtained have covariant terms with the slow rotating neutron star. However, the equation for a rapidly rotating neutron star has a more complex description. There are terms that cannot be simplified, such as in slowly rotating neutron stars.