Unifying inflation with early and late dark energy epochs in axion 
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 gravity

Oikonomou, V. K.

doi:10.1103/physrevd.103.044036

Cited by 121 publications

(40 citation statements)

References 133 publications

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“…This term primordially would be subleading then, thus it would not affect significantly the evolution, however it would affect in a dominant way the late-time evolution. This type of models were considered for example in [68][69][70], and it is always timely to consider power-law higher curvature corrections in order to account for dark energy effects. In the same spirit, one could in principle investigate whether the Swampland criteria are affected by the combined presence of the power-law f (R) gravity [71] and the scalar field.…”

Section: R N Corrected Power-law Scalar Potentialmentioning

confidence: 99%

Power-Law $f(R)$ Gravity Corrected Canonical Scalar Field Inflation

Oikonomou

2021

Preprint

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The effective inflationary Lagrangian is a prominent challenge for theoretical cosmologists, since it may contain imprints of the quantum epoch. In view of the fact that higher order curvature terms might be present in the effective inflationary Lagrangian, in this work we introduce the theoretical framework of power-law f (R) gravity corrected canonical scalar field inflation, aiming to study the inflationary dynamics of this new framework. The main characteristic of this new theoretical framework is the dominance of a power-law f (R) gravity term ∼ R n , with 1 < n < 2, compared to the Einstein-Hilbert term ∼ R. In effect, the field equations are controlled by the R n term in contrast to the Einstein-Hilbert canonical scalar theory. We extract the slow-roll field equations and we calculate the slow-roll indices of the resulting theory which acquire quite elegant final form, when the slow-roll conditions hold true. Accordingly, we examine quantitatively the inflationary phenomenological implications of the theoretical framework we introduced, by choosing simple hybrid-like scalar field potentials. As we evince the resulting theory is in good agreement with the latest Planck data for a wide range of the free parameters of the model. Thus our theoretical framework makes possible to obtain viable inflationary theories, which otherwise would be nonviable, such as the simple power-law f (R) gravity model or the simple power-law scalar model.

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Section: R N Corrected Power-law Scalar Potentialmentioning

confidence: 99%

Power-Law $f(R)$ Gravity Corrected Canonical Scalar Field Inflation

Oikonomou

2021

Preprint

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“…However, another promising approach which can realize a viable inflationary era without relying to scalar fields, or at least not relying solely on scalar fields, is modified gravity in its various forms [16][17][18][19][20][21]. There are many kinds of modified gravities that can successfully describe inflation, such as f (R) gravity , Gauss-Bonnet gravity [48-55, 57, 59, 60, 72, 74] and so on, and in some cases a unified description of the inflationary era with the dark energy era can also be described even with the same model, as in the pioneer work [22], see also [28,38,41,[45][46][47] for later developments. In this work we shall consider deformations of R 2 gravity [61,62] caused by demanding a quasi de Sitter evolution during the early-time era, the widely known in the literature as Starobinsky inflation.…”

Section: Introductionmentioning

confidence: 99%

$R^2$ Inflation Revisited and Dark Energy Corrections

Odintsov,

Oikonomou

2021

Preprint

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The vacuum R 2 model is known to generate a quasi-de Sitter evolution for inflation, using solely the slow-roll assumptions. Using standard reconstruction techniques, we demonstrate that the f (R) gravity which actually realizes the quasi-de Sitter evolution is not simply the R 2 model but a deformed R 2 model which contains extra terms in addition to the R 2 model. We analyze in detail the inflationary dynamics of the deformed R 2 model and we demonstrate that the predictions are quite close to the ones of the pure R 2 model, regardless the values of the free parameters. Basically the deformed R 2 model is also a single parameter inflationary model, exactly like the ordinary R 2 model. In contrast to the early-time era, where the deformed R 2 model is quite similar to the R 2 model, at late times, the phenomenological picture is different. The deformed R 2 model describes stronger gravity compared to the ordinary R 2 with an effectively smaller effective Planck mass. We propose the addition of an early dark energy term which does not affect at all the inflationary era, but takes over the control of the late-time dynamics at late times. We study in some detail the predicted dark energy era evolution, and we demonstrate that the dark energy corrected deformed R 2 model can describe a viable dark energy era, compatible with the Planck constraints on cosmological parameters. Furthermore the model is distinct from the Λ-Cold-Dark-Matter model, but shows a qualitatively similar behavior.

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“…This is the basis of the DC magnetic field axion haloscope, first proposed by Sikivie [14,15] and pioneered experimentally by the ADMX collaboration [16][17][18][19][20][21][22]. Recently the scientific case that dark matter may include QCD axions or axion like particles of varied mass and photon coupling has gained momentum [23][24][25][26][27][28][29][30][31][32][33][34], leading to many new ideas and new detectors designs world-wide, which implement the principle of dark matter detection through the electromagnetic anomaly .…”

Section: Introductionmentioning

confidence: 99%

Poynting vector controversy in axion modified electrodynamics

Tobar,

McAllister,

Goryachev

2021

Preprint

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The most sensitive haloscopes that search for axion dark matter through the two photon electromagnetic anomaly, convert axions into photons through the mixing of axions with a large background DC magnetic field. In this work we apply Poynting theorem to the resulting axion modified electrodynamics and identify two possible Poynting vectors, one which is similar to the Abraham Poynting vector in electrodynamics and the other to the Minkowski Poynting vector. Inherently the conversion of axions to photons is a non-conservative process with respect to the created oscillating photonic degree of freedom. We show that Minkowski Poynting theorem picks up the added non-conservative terms while the Abraham does not. The non-conservative terms may be categorised more generally as "curl forces", which in classical physics are non-conservative and non-dissipative forces localised in space, not describable by a scalar potential and exist outside the global conservative physical equations of motion. To understand the source of energy conversion and power flow in the detection systems, we apply the two different Poynting theorems to both the resonant cavity haloscope and the broadband low-mass axion haloscope. Our calculations show that both Poynting theorems give the same sensitivity for a resonant cavity axion haloscope, but predict markedly different sensitivity for the low-mass broadband capacitive haloscope. Hence we ask the question, can understanding which one is the correct one for axion dark matter detection, be considered under the framework of the Abraham-Minkowski controversy? In reality, this should be confirmed by experiment when the axion is detected. However, many electrodynamic experiments have ruled in favour of the Minkowski Poynting vector when considering the canonical momentum in dielectric media. In light of this, we show that the axion modified Minkowski Poynting vector should indeed be taken seriously for sensitivity calculation for low-mass axion haloscopes in the quasi static limit, and predict orders of magnitude better sensitivity than the Abraham Poynting vector equivalent.

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Unifying inflation with early and late dark energy epochs in axion F(R) gravity

Cited by 121 publications

References 133 publications

Power-Law $f(R)$ Gravity Corrected Canonical Scalar Field Inflation

Power-Law $f(R)$ Gravity Corrected Canonical Scalar Field Inflation

$R^2$ Inflation Revisited and Dark Energy Corrections

Poynting vector controversy in axion modified electrodynamics

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