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Article

About Jordan and Einstein Frames: A Study in Inflationary Magnetogenesis

by
Joel Velásquez
1,*,
Héctor J. Hortua
2 and
Leonardo Castañeda
1
1
Grupo de Gravitación y Cosmología, Observatorio Astronómico Nacional, Universidad Nacional de Colombia, Cra 45 # 26-85, Ed. Uriel Gutierrez, Bogotá 16486, Colombia
2
Grupo Signos, Departamento de Matemáticas, Universidad el Bosque, Bogotá 11321, Colombia
*
Author to whom correspondence should be addressed.
Universe 2024, 10(9), 350; https://doi.org/10.3390/universe10090350
Submission received: 12 July 2024 / Revised: 19 August 2024 / Accepted: 28 August 2024 / Published: 1 September 2024
(This article belongs to the Special Issue The Nature of Dark Energy)
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Abstract

In this paper, we make a detailed side-by-side comparison between Jordan and Einstein frames in the context of cosmic magnetogenesis. We have computed the evolution of the vector potential in each frame along with some observables such as the spectral index and the magnetic field amplitude. We found that contrary to the Einstein frame, the electric and magnetic energy densities in the Jordan Frame do not depend on any parameter associated with the scalar field. Furthermore, in the Einstein frame, and assuming scale invariance for the magnetic field, most of the total energy density contribution comes from the electric and magnetic densities. Finally, we show the ratio between magnetic field signals in both frames printed in the CMB.
Keywords: scalar-tensor theories; Jordan and Einstein frames; megnetogenesis scalar-tensor theories; Jordan and Einstein frames; megnetogenesis

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MDPI and ACS Style

Velásquez, J.; Hortua, H.J.; Castañeda, L. About Jordan and Einstein Frames: A Study in Inflationary Magnetogenesis. Universe 2024, 10, 350. https://doi.org/10.3390/universe10090350

AMA Style

Velásquez J, Hortua HJ, Castañeda L. About Jordan and Einstein Frames: A Study in Inflationary Magnetogenesis. Universe. 2024; 10(9):350. https://doi.org/10.3390/universe10090350

Chicago/Turabian Style

Velásquez, Joel, Héctor J. Hortua, and Leonardo Castañeda. 2024. "About Jordan and Einstein Frames: A Study in Inflationary Magnetogenesis" Universe 10, no. 9: 350. https://doi.org/10.3390/universe10090350

APA Style

Velásquez, J., Hortua, H. J., & Castañeda, L. (2024). About Jordan and Einstein Frames: A Study in Inflationary Magnetogenesis. Universe, 10(9), 350. https://doi.org/10.3390/universe10090350

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