Analytical solutions of CPT-odd Maxwell equations in Schwarzschild spacetime

【摘要】 In this paper,we present the CPT-violating（CPTV） Maxwell equations in curved spacetime using the Newman-Penrose（NP） formalism.We obtain a semi-analytical solution to the Maxwell equations in Schwarzschild spacetime under the assumption that the CPT-odd(k_AF)^μ term exhibits spherical symmetry in the Schwarzschild background.By retaining only terms up to the linear order in the(k_AF)^μ coefficient,we obtain perturbative solutions by treating the solutions of the Lorentz-invariant Maxwell equations as the zeroth_order approximation and incorporating the(k_AF)^μ terms jointly as an additional source term alongside the external charge current.Each resulting NP scalar field can be factorized into two components:the radial component,expressed in terms of hypergeometric functions,and the angular component,described by spin-weighted spherical harmonics.更多还原

【Abstract】 In this paper,we present the CPT-violating（CPTV） Maxwell equations in curved spacetime using the Newman-Penrose（NP） formalism.We obtain a semi-analytical solution to the Maxwell equations in Schwarzschild spacetime under the assumption that the CPT-odd(k_AF)^μ term exhibits spherical symmetry in the Schwarzschild background.By retaining only terms up to the linear order in the(k_AF)^μ coefficient,we obtain perturbative solutions by treating the solutions of the Lorentz-invariant Maxwell equations as the zeroth_order approximation and incorporating the(k_AF)^μ terms jointly as an additional source term alongside the external charge current.Each resulting NP scalar field can be factorized into two components:the radial component,expressed in terms of hypergeometric functions,and the angular component,described by spin-weighted spherical harmonics.更多还原