Born-Infeld<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity

Макаренко, А. Н.; Odintsov, Sergei D.; Olmo, Gonzalo J.

doi:10.1103/physrevd.90.024066

Cited by 48 publications

(53 citation statements)

References 68 publications

(77 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For different Palatini theories see Refs. [5,6] for Palatini f (R) and Born-Infeld-f (R) gravities, respectively. For recent reviews of modified gravities, see Refs.…”

Section: Introductionmentioning

confidence: 99%

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

2015

View full text Add to dashboard Cite

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.

show abstract

“…For different Palatini theories see Refs. [5,6] for Palatini f (R) and Born-Infeld-f (R) gravities, respectively. For recent reviews of modified gravities, see Refs.…”

Section: Introductionmentioning

confidence: 99%

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

2015

View full text Add to dashboard Cite

show abstract

“…[15,16] for details), which can be used with the purpose to discuss a number of relevant situations. In particular, we can explicitly work out in detail the unification of the inflation epoch with the late-time acceleration stage by using metrics proposed in [18].…”

Section: Born-infeld-f (R) Theory In a Conformal Ansatzmentioning

confidence: 99%

“…As already advanced above, in order to enhance the capabilities of the theory, we here propose a modified action of Born-Infeld type but containing an arbitrary function f (R), where R = g µν R µν (Γ) [15], namely…”

Section: Born-infeld-f (R) Theory In a Conformal Ansatzmentioning

confidence: 99%

See 1 more Smart Citation

Singular inflation from Born–Infeld-f(R) gravity

Elizalde

Макаренко

2016

Mod. Phys. Lett. A

Self Cite

View full text Add to dashboard Cite

show abstract

“…A theory which combines the EiBI action and the f(R) action is also analysed in Refs. [44,45] (see also Ref. [46]).…”

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

View full text Add to dashboard Cite

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

show abstract

Born-Infeldf(R)gravity

Cited by 48 publications

References 68 publications

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

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

Singular inflation from Born–Infeld-f(R) gravity

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

Contact Info

Product

Resources

About