Doomsdays in a modified theory of gravity: A classical and a quantum approach

Albarran, Imanol; Bouhmadi-López, Mariam; Chen, Che-Yu; Chen, Pisin

doi:10.1016/j.physletb.2017.07.053

Cited by 22 publications

(30 citation statements)

References 55 publications

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“…The properties of dark energy are crucial for the future evolution of the universe and its eventual fate. At this respect, some models predict the existence of future singularities that can be broadly classified according to the divergence of some cosmological quantity (see for instance [52,262,126,93,160,81,62,11] for some related literature). It is indeed common to perform such a classification attending to which derivative of the scale factor diverges first [161].…”

Section: Late-time Cosmologymentioning

confidence: 99%

Born–Infeld inspired modifications of gravity

et al. 2018

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General Relativity has shown an outstanding observational success in the scales where it has been directly tested. However, modifications have been intensively explored in the regimes where it seems either incomplete or signals its own limit of validity. In particular, the breakdown of unitarity near the Planck scale strongly suggests that General Relativity needs to be modified at high energies and quantum gravity effects are expected to be important. This is related to the existence of spacetime singularities when the solutions of General Relativity are extrapolated to regimes where curvatures are large. In this sense, Born-Infeld inspired modifications of gravity have shown an extraordinary ability to regularise the gravitational dynamics, leading to non-singular cosmologies and regular black hole spacetimes in a very robust manner and without resorting to quantum gravity effects. This has boosted the interest in these theories in applications to stellar structure, compact objects, inflationary scenarios, cosmological singularities, and black hole and wormhole physics, among others. We review the motivations, various formulations, and main results achieved within these theories, including their observational viability, and provide an overview of current open problems and future research opportunities.

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Section: Late-time Cosmologymentioning

confidence: 99%

Born–Infeld inspired modifications of gravity

et al. 2018

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“…In this scenario, the energy density could increase up to the Planck scale, where quantum effects are expected to be important. This has lead to carry a quantum analysis close to the cosmological singularities/abrupt events, where the classical singularity could be avoided in the quantum realm [31][32][33][34][35][36][37][38][39][40][41][42][43][44] (see the recent review [45]). In this work, we allude to the models that induce these events as model A, B and C, respectively.…”

Section: Introductionmentioning

confidence: 99%

Cosmological constraints of phantom dark energy models

Bouali

Albarran

Bouhmadi-López

et al. 2019

Physics of the Dark Universe

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We address three genuine phantom dark energy models where each of them induces the particular future events known as Big Rip, Little Rip and Little Sibling of the Big Rip. The background models are fully determined by a given dark energy equation of state. We first observationally constrain the corresponding model parameters that characterise each paradigm using the available data of supernova type Ia, Cosmic Microwave Background and Baryonic Acoustic Oscillations by using a Markov Chain Monte Carlo method. The obtained fits are used to solve numerically the first order cosmological perturbations. We compute the evolution of the density contrast of (dark) matter and DE, from the radiation dominated era till a totally DE dominated universe. Then, the obtained results are compared with respect to ΛCDM. We obtain the predicted current matter power spectrum and the evolution of f σ8 given by the models studied in this work. Finally, the models are tested by computing the reduced χ 2 for the "Gold2017" f σ8 dataset. * aminebouali smp@yahoo.com †

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“…One of the most interesting features is that EiBI is equivalent to GR in the vacuum while it introduces modifications in dense matter environments, where GR is experimentally not well probed. EiBI is able to describe, with only a single extra parameter (κ), astrophysical objects such as the Sun [19] and the internal structure of compact objects [20][21][22][23][24][25][26], and the cosmological expansion of the Universe [22,[27][28][29][30][31] (for comprehensive reviews see [7,12] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

Kinetic theory of Jean instability in Eddington-inspired Born–Infeld gravity

Martino

Capolupo

2017

Eur. Phys. J. C

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We analyze the stability of self-gravitating systems which dynamics is investigated using the collisionless Boltzmann equation, and the modified Poisson equation of Eddington-inspired Born-Infield gravity. These equations provide a description of the Jeans paradigm used to determine the critical scale above which such systems collapse. At equilibrium, the systems are described using the time-independent Maxwell-Boltzmann distribution function f 0 (v). Considering small perturbations to this equilibrium state, we obtain a modified dispersion relation, and we find a new characteristic scale length. Our results indicate that the dynamics of self-gravitating astrophysical systems can be fully addressed in the Eddington-inspired Born-Infeld gravity. The latter modifies the Jeans instability in high densities environments, while its effects become negligible in star formation regions.

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Doomsdays in a modified theory of gravity: A classical and a quantum approach

Cited by 22 publications

References 55 publications

Born–Infeld inspired modifications of gravity

Born–Infeld inspired modifications of gravity

Cosmological constraints of phantom dark energy models

Kinetic theory of Jean instability in Eddington-inspired Born–Infeld gravity

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