Theories with spontaneously broken symmetry can give rise to a specific class of solutions known as monopoles. In one such theory, being tested in this paper, an antisymmetric two-tensor eld that spontaneously breaks Lorentz symmetry can form such monopole solutions. Very little is known about the interactions of these monopoles; as the equations of motion are nonlinear, simulational techniques are required. We present progress towards creating a simulation of these time-dependent monopoles, seeing if monopoles are still in existence today, and estimating their density in the current universe. We simulate a subset of the equations of motion of the antisymmetric two-tensor eld. Our results show that the eld stabilizes to a non-uniform value over time.
Sarkar, George, "Simulating Interactions of Lorentz-Violating Interpoles" (2017). Physics, Astronomy and Geophysics Honors Papers. 8.
The views expressed in this paper are solely those of the author.