We consider general relativity with cosmological constant minimally
coupled to the electromagnetic field and assume that the four-dimensional space-time manifold is a warped product of two surfaces with Lorentzian and Euclidean signature metrics. Einstein's equations imply that at least one of the surfaces must be of constant curvature. It means that the symmetry of the metric arises as the consequence of the equations of motion (``spontaneous symmetry emergence''). Totally, we have 37 topologically different global solutions with spatial symmetry. There is one solution among them describing changing topology of space in time which is discussed in detail.
Volume 376 -
Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019) -
Workshop on Quantum Geometry, Field Theory and Gravity
On global properties of warped solutions in General Relativity with an electromagnetic field and a cosmological constant
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Published on:
August 18, 2020
Abstract
DOI: https://doi.org/10.22323/1.376.0201
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.