2014/03/31 by Héctor J. Hortúa, Hector J. Hortua, Leonardo Castañeda
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Covariant transformation #Friedmann–Lemaître–Robertson–Walker metric #Galaxies: Formation, Evolution, Phenomena #Gauge anomaly #Gauge boson #Gauge covariant derivative #Gauge fixing #Gauge theory #Geometry #Hamiltonian lattice gauge theory #Introduction to gauge theory #Invariant (physics) #Lorenz gauge condition #Mathematical descriptions of the electromagnetic field #Mathematical physics #Physics #Quantum electrodynamics #Quantum mechanics #Rotation formalisms in three dimensions #Supersymmetric gauge theory #Theoretical physics #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/0264-9381/32/23/235026
published as Class. Quantum Grav. 32(2015) 235026 · 18 pages. v2: Journal version
arxiv created 2015/11/19 · openalex publication_date 2015/11/19 · arxiv updated 2015/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we contrasted two cosmological perturbation theory formalisms, the 1 + 3 covariant gauge invariant and the gauge invariant , by comparing the gauge invariant variables associated with the magnetic field defined in each approach. In the first part we give an introduction to each formalism assuming the presence of a magnetic field. We found that gauge invariant quantities defined by the 1 + 3 covariant approach are related to spatial variations of the magnetic field (defined in the gauge invariant formalism) between two closed fundamental observers. This relation was computed by choosing the comoving gauge in the gauge invariant approach in a magnetized universe. Furthermore, we have derived the gauge transformations for electromagnetic potentials in the gauge invariant approach, and the Maxwell equations have been written in terms of these potentials.