Superconductor in a weak static gravitational field

TL;DR

This paper investigates how weak static gravitational fields influence superconductors by deriving modified Maxwell and London equations, analyzing gravitational effects on high-Tc and low-Tc superconductors, and providing analytic solutions in the weak field limit.

Contribution

It presents a detailed derivation of gravitational corrections to superconducting equations and compares the gravitational shielding potential between high-Tc and low-Tc superconductors.

Findings

Gravitational corrections can alter electromagnetic behavior in superconductors.

High-Tc superconductors may exhibit greater gravitational field reduction.

Analytic solutions are provided for weak gravitational fields in superconductors.

Abstract

We provide the detailed calculation of a general form for Maxwell and London equations that takes into account gravitational corrections in linear approximation. We determine the possible alteration of a static gravitational field in a superconductor making use of the time-dependent Ginzburg-Landau equations, providing also an analytic solution in the weak field condition. Finally, we compare the behavior of a high-Tc superconductor with a classical low-Tc superconductor, analyzing the values of the parameters that can enhance the reduction of the gravitational field.