Electromagnetism in Curved Space–Time: Coupling Doppler shifts and gravitational redshifts

Bunney, Cameron R. D.; Gradoni, Gabriele

doi:10.1109/map.2021.3099714

Cited by 5 publications

(2 citation statements)

References 12 publications

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“…where ȧ = da dt . The action includes an invariant of the electromagnetic field [44,45], which is calculated as…”

Section: Action and Equations Of Motionmentioning

confidence: 99%

The Early and Late Universe in the Modified Einstein-Maxwell-Gauss-Bonnet Model

Tsyba,

Rakhatov,

Razina

2024

Preprint

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This work investigates the Einstein-Gauss-Bonnet model with scalar and electromagnetic fields. The created model was reconstructed using a hybrid scale factor. The initial viability analysis of the model confirmed the compliance of the solutions with modern cosmological data. The equation of state parameter $\omega$, corresponds to the case of an accelerated expanding universe. In addition, an alternative approach utilizing $Om(z)$ diagnostics has been implemented. The values of the scalar field and its potential obtained during the solution correspond to the cases of "slow-roll" and chaotic inflation. The values of the slow-roll parameters, based on the coupling function $\xi(\phi)$ are obtained. Parameters correspond to the condition of the beginning of inflation. Based on the slow-roll parameters, the values of the spectral indices $n_S$, $n_T$, and the tensor-to-scalar ratio $r$ are obtained. The propagation speed of the acoustic ($c_A$) and tensor ($c_T$) perturbations have been determined. Subsequently, an examination of the post-inflationary phase in the universe's evolution was conducted. This analysis was predicated on the utilization of energy conditions. Furthermore, an extensive evaluation involving cosmographic parameters and statefinders diagnostics was executed. The application of the described methods has shown that the model is stable, viable, and can be used to study the early and late stages of the universe's evolution.

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“…where ȧ = da dt . The action includes an invariant of the electromagnetic field [44,45], which is calculated as…”

Section: Action and Equations Of Motionmentioning

confidence: 99%

The Early and Late Universe in the Modified Einstein-Maxwell-Gauss-Bonnet Model

Tsyba,

Rakhatov,

Razina

2024

Preprint

View full text Add to dashboard Cite

show abstract

“…The paradox comes from trying to apply directly Maxwell's equations to a non-inertial reference frame. To solve it, I'll derive a set of equations for rotating electrodynamics by using the the general covariant formulation of electromagnetism [12] ∇ ν F µν = −µ 0 j µ (1) which gives only two of the four equations necessary. By performing a change of coordinates of the usual Maxwell equations we get the whole set of equations.…”

Section: Introductionmentioning

confidence: 99%