Propagation of extremes in space

Nicolis, C.; Nicolis, Stamatios C.

doi:10.1103/physreve.80.026201

Cited by 66 publications

(118 citation statements)

References 5 publications

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“…(trivial). In greater detail, quartic and quintic Galileon models [32,33], de-Sitter Horndeski [34], the Fab-Four [35], as well as purely kinetic coupled models [36] are severely constrained due to Eq. (17).…”

Section: The Gw Propagation Equation-mentioning

confidence: 99%

“…In [45], they perform simulations showing that the Vainshtein mechanism suppresses very efficiently the spatial variations of the scalar field and in addition, the simulations fit very well both CMB and BAO data. However, after the observation of GW170817, such non-minimal couplings (31) and also models like (32) were eliminated by the constraint in Eq. (17), predicting a higher than the speed of light speed for the gravitational waves.…”

Section: The Gw Propagation Equation-mentioning

confidence: 99%

“…(33), theories with G 5 (φ) and also G 4 (φ, X) will give the correct speed for the gravitational waves. This correction of course includes the models in (31) and (32).…”

Section: The Gw Propagation Equation-mentioning

confidence: 99%

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Reviving Horndeski theory using teleparallel gravity after GW170817

et al. 2020

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Horndeski gravity was highly constrained from the recent gravitational wave observations by the LIGO Collaboration down to |cg/c − 1| 10 −15 . In this Letter we study the tensorial perturbations in a flat cosmological background for an analogue version of Horndenki gravity which is based in Teleparallel Gravity constructed from a flat manifold with a nonvanishing torsion tensor. It is found that in this approach, one can construct a more general Horndeski theory satisfying cT = cg/c = 1 without eliminating the coupling functions G5(φ, X) and G4(φ, X) that were highly constrained in standard Horndeski theory. Hence, in the Teleparallel approach one is able to restore these terms, creating an interesting way to revive Horndeski

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Section: The Gw Propagation Equation-mentioning

confidence: 99%

Section: The Gw Propagation Equation-mentioning

confidence: 99%

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Reviving Horndeski theory using teleparallel gravity after GW170817

et al. 2020

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“…1(b) and 1(c). Moreover, we studied the statistics of the time intervals between two consecutive rogue waves [30,31], and, as can be seen in Fig. 2, the simulated distribution, Fig.…”

mentioning

confidence: 99%

Rogue waves in optically injected lasers: Origin, predictability, and suppression

et al. 2013

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Rogue waves are devastating extreme events that occur in many natural systems, and a lot of work has focused on predicting and understanding their origin. In optically injected semiconductor lasers rogue waves are rare ultra-high pulses that sporadically occur in the laser chaotic output intensity. Here we show that these optical rogue waves can be predicted with long anticipation time, that they are generated by a crisis-like process, and that noise can be employed to either enhance or suppress their probability of occurrence. By providing a good understanding of the mechanisms triggering and controlling the rogue waves, our results can contribute to improve the performance of injected lasers and can also enable new experiments to test if these mechanisms are also involved in other natural systems where rogue waves have been observed. Extreme events are often catastrophic ones, such as tsunamis, earthquakes, supernovas, stock market crashes, etc. [1][2][3][4][5]. Ocean rogue waves, also referred to as freak waves, are several times the average height of surrounding waves and have steep, fast rising, and fast falling sides, like "a wall of water" [6][7][8][9]. They are a topic of intensive research as they can develop suddenly even in calm and apparently safe seas and have been responsible for several boat accidents, representing a major challenge for the design of off-shore platforms for the oil and gas industry.In optics, Solli et al.[10] have shown that extremely broadband radiation can be generated from a narrow-band input, with a long-tailed distribution similar to that of ocean rogue waves. Since then, optical rogue waves have been observed in several systems [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], and their study has advanced the research in the field, in a way that has been compared to the introduction of optical systems to study chaos in the 1980s [26].In lasers, rogue waves occurring in the form of giant intensity pulses capable of producing catastrophic optical damage have been observed in pump-modulated [19], Raman [20], mode-locked [21][22][23], and optically injected lasers [24]. In Ref.[24] the rogue waves were studied in the framework of a simple and deterministic model that exhibits two types of chaos: one in which rogue waves do not appear consistently and one in which they are relatively frequent [24]. Since a deterministic chaotic system possesses some correlation length, the rogue waves in the system should have some degree of predictability.Here we show, experimentally and numerically, that these optical rogue waves can indeed be predicted with a long anticipation time as compared with the laser characteristic time scales. In addition, we show that an external crisis-like process [27,28], in the form of the crossing of the attractor, developed from one fixed point, with the stable manifold of another fixed point, gives rise to an expanded attractor that supports trajectories with rogue waves. We also show that noise can be exploited for either enhancing or suppressing ...

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“…Apart from the DBI models of inflation, another class of ghost-free models has been recently considered, named "Galileon" models [50,51]. The main characteristic of these models is that the gravitational and scalar field equations remain as secondorder differential equations.…”

Section: Introductionmentioning

confidence: 99%

Slow-roll inflation with exponential potential in scalar-tensor models

Granda

Jimenez

2019

Eur. Phys. J. C

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A study of the slow-roll inflation for an exponential potential in the frame of the scalar-tensor theory is performed, where non-minimal kinetic coupling to curvature and non-minimal coupling of the scalar field to the Gauss-Bonnet invariant are considered. Different models were considered with couplings given by exponential functions of the scalar field, that lead to graceful exit from inflation and give values of the scalar spectral index and the tensor-to-scalar ratio in the region bounded by the current observational data. Special cases were found, where the coupling functions are inverse of the potential, that lead to inflation with constant slow-roll parameters, and it was posible to reconstruct the model parameters for given ns and r. In first-order approximation the standard consistency relation maintains its validity in the model with nonminimal coupling, but it modifies in presence of Gauss-Bonnet coupling. The obtained Hubble parameter during inflation, H ∼ 10 −5 M p and the energy scale of inflation V 1/4 ∼ 10 −3 M p , are consistent with the upper bounds set by latest observations. *

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Propagation of extremes in space

Cited by 66 publications

References 5 publications

Reviving Horndeski theory using teleparallel gravity after GW170817

Reviving Horndeski theory using teleparallel gravity after GW170817

Rogue waves in optically injected lasers: Origin, predictability, and suppression

Slow-roll inflation with exponential potential in scalar-tensor models

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