Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations
نویسندگان
چکیده
We consider the coupled Einstein-Dirac-Maxwell equations for a static, spherically symmetric system of two fermions in a singlet spinor state. Soliton-like solutions are constructed numerically. The stability and the properties of the ground state solutions are discussed for different values of the electromagnetic coupling constant. We find solutions even when the electromagnetic coupling is so strong that the total interaction is repulsive in the Newtonian limit. Our solutions are regular and well-behaved; this shows that the combined electromagnetic and gravitational self-interaction of the Dirac particles is finite.
منابع مشابه
The Coupling of Gravity to Spin and Electromagnetism
The coupled Einstein-Dirac-Maxwell equations are considered for a static, spherically symmetric system of two fermions in a singlet spinor state. Stable soliton-like solutions are shown to exist, and we discuss the regularizing effect of gravity from a Feynman diagram point of view. There are some interesting effects that result when one couples gravity, as expressed through Einstein’s equation...
متن کاملNon-Existence of Black Hole Solutions for a Spherically Symmetric, Static Einstein-Dirac-Maxwell System
We consider for j = 1 2 , 3 2 , . . . a spherically symmetric, static system of (2j + 1) Dirac particles, each having total angular momentum j. The Dirac particles interact via a classical gravitational and electromagnetic field. The Einstein-Dirac-Maxwell equations for this system are derived. It is shown that, under weak regularity conditions on the form of the horizon, the only black hole so...
متن کاملParticle-Like Solutions of the Einstein-Dirac Equations
The coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state are derived. Using numerical methods, we construct an infinite number of soliton-like solutions of these equations. The stability of the solutions is analyzed. For weak coupling (i.e., small rest mass of the fermions), all the solutions are linearly stable (with respect to s...
متن کاملEinstein-maxwell-dirac and Seiberg-witten Monopole Equations
We present unique solutions of the Seiberg-Witten Monopole Equations in which the U(1) curvature is covariantly constant, the monopole Weyl spinor consists of a single constant component, and the 4-manifold is a product of two Riemann surfaces of genuses p1 and p2. There are p1 − 1 magnetic vortices on one surface and p2−1 electric ones on the other, with p1 + p2 ≥ 2 (p1 = p2 = 1 being excluded...
متن کاملOn the relation between the Maxwell system and the Dirac equation
The relation between the two most important in mathematical physics first order systems of partial differential equations is among those topics which attract attention because of their general, even philosophical significance but at the same time do not offer much for the solution of particular problems concerning physical models. The Maxwell equations can be represented in a Dirac like form in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999