Is Eddington–Born–Infeld theory really free of cosmological singularities?

We study the large scale structure formation in Eddington-inspired Born-Infeld (EiBI) gravity. It is found that the linear growth of scalar perturbations in EiBI gravity deviates from that in general relativity for modes with large wave numbers (k), but the deviation is largely suppressed with the expansion of the Universe. We investigate the integrated Sachs-Wolfe effect in EiBI gravity, and find that its effect on the angular power spectrum of the anisotropy of the cosmic microwave background (CMB) is almost the same as that in the Lambda-cold dark matter (ΛCDM) model. We further calculate the linear matter power spectrum in EiBI gravity and compare it with that in the ΛCDM model. Deviation is found on small scales (k 0.1h Mpc −1 ), which can be tested in the future by observations from galaxy surveys.

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“…More relevant studies can be found in Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. It was shown in Refs.…”

Section: Introductionmentioning

confidence: 99%

Large scale structure formation in Eddington-inspired Born-Infeld gravity

2014

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“…[12] that it has curvature singularities at the surface of polytropic stars and unacceptable Newtonian limit. The Big Rip singularity was found to be unavoidable in the EiBI phantom model [13]. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Black hole solution and strong gravitational lensing in Eddington-inspired Born–Infeld gravity

2015

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A new theory of gravity called Eddingtoninspired Born-Infeld (EiBI) gravity was recently proposed by Bañados and Ferreira. This theory leads to some exciting new features, such as free of cosmological singularities. In this paper, we first obtain a charged EiBI black hole solution with a nonvanishing cosmological constant when the electromagnetic field is included in. Then based on it, we study the strong gravitational lensing by the asymptotic flat charged EiBI black hole. The strong deflection limit coefficients and observables are shown to closely depend on the additional coupling parameter κ in the EiBI gravity. It is found that, compared with the corresponding charged black hole in general relativity, the positive coupling parameter κ will shrink the black hole horizon and photon sphere. Moreover, the coupling parameter will decrease the angular position and relative magnitudes of the relativistic images, while increase the angular separation, which may shine new light on testing such gravity theory in near future by the astronomical instruments.

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“…1 Recall that the EiBI theory recovers GR when |κ R| is very small as shown in [24]. On the other hand, the conservation equation, as mentioned previously, takes the standard form…”

Section: The Eibi Model and Dark Energy Related Singularitiesmentioning

confidence: 84%

“…We showed recently that despite the big bang avoidance in the EiBI setup, the big rip [49][50][51][52][53][54][55][56] is unavoidable in the EiBI phantom model [1]. In this paper, we will assume an EiBI model and we will carry a thorough analysis of the possible avoidance of the other dark energy related singularities, known as: (i) sudden, type II, big brake or big démarrage singularity [57][58][59][60], (ii) type III or big breeze singularity [59][60][61][62][63] and (iii) type IV singularity [59,60,64,65].…”

Section: Introductionmentioning

confidence: 99%

Eddington–Born–Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures

Bouhmadi-López

Chen

2015

Eur. Phys. J. C

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The Eddington-inspired-Born-Infeld scenario (EiBI) can prevent the big bang singularity for a matter content whose equation of state is constant and positive. In a recent paper [Bouhmadi-Lopez et al. (Eur. Phys. J. C 74:2802, 2014] we showed that, on the contrary, it is impossible to smooth a big rip in the EiBI setup. In fact the situations are still different for other singularities. In this paper we show that a big freeze singularity in GR can in some cases be smoothed to a sudden or a type IV singularity under the EiBI scenario. Similarly, a sudden or a type IV singularity in GR can be replaced in some regions of the parameter space by a type IV singularity or a loitering behaviour, respectively, in the EiBI framework. Furthermore, we find that the auxiliary metric related to the physical connection usually has a smoother behaviour than that based on the physical metric. In addition, we show that bound structures close to a big rip or a little rip will be destroyed before the advent of the singularity and will remain bound close to a sudden, big freeze or type IV singularity. We then constrain the model following a cosmographic approach, which is well known to be model independent, for a given Friedmann-Lemaître-RobertsonWalker geometry. It turns out that among the various past or present singularities, the cosmographic analysis can pick up the physical region that determines the occurrence of a type IV singularity or a loitering effect in the past. Moreover, to determine which of the future singularities or doomsdays is a

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Is Eddington–Born–Infeld theory really free of cosmological singularities?

Cited by 41 publications

References 24 publications

Large scale structure formation in Eddington-inspired Born-Infeld gravity

Large scale structure formation in Eddington-inspired Born-Infeld gravity

Black hole solution and strong gravitational lensing in Eddington-inspired Born–Infeld gravity

Eddington–Born–Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures

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