Small free field inflation in higher curvature gravity

Edelstein, José D.; Mann, Robert B.; Rodríguez, Donato Saldívar; López, Alejandro Vilar

doi:10.1007/jhep01(2021)029

Cited by 12 publications

(6 citation statements)

References 31 publications

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“…The question arises whether it is possible to have a situation in which cosmological inflation fully happens in the high curvature regime in the absence of radiation. The answer is in the affirmative and it is possible to convert a scalar field with a quadratic potential, a benchmark of the large field models, into a small field inflationary model [23].…”

Section: Discussionmentioning

confidence: 97%

Aspects of Geometric Inflation

Edelstein,

Rodríguez,

López

2020

Preprint

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We revisit the recently proposed mechanism of Geometric Inflation. On general grounds, we show that obtaining the right amount of inflation demands an exceedingly large initial energy density. We introduce a scalar field and study the combined action of both mechanisms. Besides fixing the aforementioned issue, a cascading process occurs whose last step seems undistinguishable from ordinary large field inflation. Strikingly, the scalar field remains approximately constant while Geometric Inflation rules the dynamics. This ultimately leads to the possibility of reducing the initial value of the scalar field and its excursion. We discuss the main features of this hybrid scenario.

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Section: Discussionmentioning

confidence: 97%

Aspects of Geometric Inflation

Edelstein,

Rodríguez,

López

2020

Preprint

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“…Then, the question is whether the system of equations for the tensor Cm,i,j given by Eqs. ( 48), ( 49), ( 66), ( 67), (68) has solutions for any value of the α…”

Section: Exactly (N − 1) Order-n Densitiesmentioning

confidence: 99%

Generalized quasi-topological gravities: the whole shebang

Bueno¹,

Cano²,

Hennigar³

et al. 2022

Preprint

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Generalized quasi-topological gravities (GQTGs) are higher-curvature extensions of Einstein gravity in D-dimensions. Their defining properties include possessing second-order linearized equations of motion around maximally symmetric backgrounds as well as non-hairy generalizations of Schwarzschild's black hole characterized by a single function, f (r) ≡ −g tt = g −1 rr , which satisfies a second-order differential equation. In arXiv:1909.07983 GQTGs were shown to exist at all orders in curvature and for general D. In this paper we prove that, in fact, n − 1 inequivalent classes of order-n GQTGs exist for D ≥ 5. Amongst these, we show that one -and only one-type of densities is of the Quasi-topological kind, namely, such that the equation for f (r) is algebraic. Our arguments do not work for D = 4, in which case there seems to be a single unique GQT density at each order which is not of the Quasi-topological kind. We compute the thermodynamic charges of the most general D-dimensional order-n GQTG, verify that they satisfy the first law and provide evidence that they can be entirely written in terms of the embedding function which determines the maximally symmetric vacua of the theory.

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“…Recently, various black hole solutions have been investigated in the Einsteinian cubic gravity theory [29,[35][36][37][38][39]. Furthermore, the properties of the inflationary era have been analyzed in some specific theories [40][41][42][43][44][45][46]. The coupling of a scalar field with a cubic term has been investigated by considering a dynamical system analysis [47].…”

Section: Introductionmentioning

confidence: 99%

Tachyonic cosmology with cubic contractions of the Riemann tensor

Marciu¹

2022

Preprint

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A new cosmological theory is proposed in the theoretical framework of modified gravity theories which is based on a tachyonic field non-minimally coupled with a specific topological invariant constructed with third order contractions of the Riemann tensor. After proposing the action of the cosmological model, the modified Friedmann relations and the Klein-Gordon equations are obtained, describing the corresponding geometrical corrections to the Einstein-Hilbert action. The physical features of the cosmological system are investigated by adopting the dynamical system analysis in the case of an exponential function for the geometrical coupling term. The investigation revealed that the cosmological system can explain the current accelerated expansion of the Universe and the matter dominated epoch, showing a high compatibility to the recent history of our Universe for various values of the coupling coefficients.

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Small free field inflation in higher curvature gravity

Cited by 12 publications

References 31 publications

Aspects of Geometric Inflation

Aspects of Geometric Inflation

Generalized quasi-topological gravities: the whole shebang

Tachyonic cosmology with cubic contractions of the Riemann tensor

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