Gravitational rainbow

Accioly, Antonio; Blas, H.

doi:10.1103/physrevd.64.067701

Cited by 24 publications

(45 citation statements)

References 12 publications

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“…This dependence, which is absent in Einstein's formula, propagates into all the equations for the usual observables of any lensing process: magnifications, cosmic shears, the light curve of microlensing events and Shapiro time delays. Clearly, such a dependence implies, as noted in [19][20][21], that radiative corrections induce a violation of the classical equivalence principle in General Relativity. The violation of the equivalence principle, viewed from a quantum perspective, is not surprising, since this principle is inherently classical and requires the localization of the point particle trajectory on a geodesic.…”

Section: Jhep07(2015)160mentioning

confidence: 89%

“…In this respect, the similarity of the results for photons and neutrinos indicates the consistency of the semiclassical approach that we have implemented. As noticed in [19][20][21], the inclusion of the quantum effects causes the appearance of an energy dependent dispersion of a particle beam, which implies a violation of the classical equivalence principle.…”

Section: Discussionmentioning

confidence: 99%

“…Before coming to a discussion of the 1-loop effects in the scattering of neutrinos, we briefly summarize the result for the leading order cross sections for fermions, photons and scalars using in an external static background [13,14,[19][20][21]. We just recall that the scattering matrix element is written as…”

Section: Jhep07(2015)160mentioning

confidence: 99%

“…Radiative and post-Newtonian effects, not included in (4.8), give an expression for α(b h ) which coincides with the form (4.9), with specific coefficients (a n , d n ) which are energy dependent. This is at the origin of the phenomenon of light dispersion (gravitational rainbow) induced by the quantum corrections, which is absent at classical level [19][20][21].…”

Section: Jhep07(2015)160mentioning

confidence: 99%

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Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Corianò

Costantini

Dell’Atti

et al. 2015

J. High Energ. Phys.

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We extend a previous phenomenological analysis of photon lensing in an external gravitational background to the case of a massless neutrino, and propose a method to incorporate radiative effects in the classical lens equations of neutrinos and photons. The study is performed for a Schwarzschild metric, generated by a point-like source, and expanded in the Newtonian potential at first order. We use a semiclassical approach, where the perturbative corrections to neutrino scattering, evaluated at one-loop in the Standard Model, are compared with the Einstein formula for the deflection using an impact parameter formulation. For this purpose, we use the renormalized expression of the graviton/fermion/fermion vertex presented in previous studies. We show the agreement between the classical and the semiclassical formulations, for values of the impact parameter b h of the neutrinos of the order of b h ∼ 20, measured in units of the Schwarzschild radius. The analysis is then extended with the inclusion of the post Newtonian corrections in the external gravity field, showing that this extension finds application in the case of the scattering of a neutrino/photon off a primordial black hole. The energy dependence of the deflection, generated by the quantum corrections, is then combined with the standard formulation of the classical lens equations. We illustrate our approach by detailed numerical studies, using as a reference both the thin lens and the Virbhadra-Ellis lens.

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Section: Jhep07(2015)160mentioning

confidence: 89%

Section: Discussionmentioning

confidence: 99%

Section: Jhep07(2015)160mentioning

confidence: 99%

Section: Jhep07(2015)160mentioning

confidence: 99%

See 2 more Smart Citations

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Corianò

Costantini

Dell’Atti

et al. 2015

J. High Energ. Phys.

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“…However, there are very few known problems in flat space that admit an exact FWT [10,11]. In curved space the known exact FWT are those related to Dirac [12] and spin zero particles [13,14] coupled to a static spacetime metric. For a scalar coupled to higher derivative gravity see [15].…”

Section: Introductionmentioning

confidence: 99%

Metric-Scalar Gravity With Torsion and the Measurability of the Non-Minimal Coupling

Accioly

Blas

2007

Mod. Phys. Lett. A

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The "measurability" of the non-minimal coupling is discussed by considering the correction to the Newtonian static potential in the semi-classical approach. The coefficient of the "gravitational Darwin term" (GDT) gets redefined by the non-minimal torsion scalar couplings. Based on a similar analysis of the GDT in the effective field theory approach to non-minimal scalar we conclude that for reasonable values of the couplings the correction is very small.

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Regular black holes in quadratic gravity

et al. 2006

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The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ay\'on-Beato and Garc{\'\i}a and by Bronnikov. It is shown that a simple generalization of the Bronnikov's electromagnetic Lagrangian leads to the solution expressible in terms of the polylogarithm functions. The solution is parametrized by two integration constants and depends on two free parameters. By the boundary conditions the integration constants are related to the charge and total mass of the system as seen by a distant observer, whereas the free parameters are adjusted to make the resultant line element regular at the center. It is argued that various curvature invariants are also regular there that strongly suggests the regularity of the spacetime. Despite the complexity of the problem the obtained solution can be studied analytically. The location of the event horizon of the black hole, its asymptotics and temperature are calculated. Special emphasis is put on the extremal configuration

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Gravitational rainbow

Cited by 24 publications

References 12 publications

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Metric-Scalar Gravity With Torsion and the Measurability of the Non-Minimal Coupling

Regular black holes in quadratic gravity

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