Determination of angle of light deflection in higher-derivative gravity theories

Xu, Chang; Yang, Yisong

doi:10.1063/1.5009911

Cited by 7 publications

(7 citation statements)

References 69 publications

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“…[5][6][7], after earlier work on the (unphysical) two-loop divergence in dimensional regularization [8][9][10]. Although the ultraviolet properties of a complete theory of quantum gravity are still very unclear, we can nevertheless try to extract its long-range behavior, or infrared properties, by treating the quantum field theory of gravity as an effective theory and focusing on the long-range behavior [11][12][13][14][15][16][17][18][19][20][21][22].…”

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confidence: 99%

Graviton bending in quantum gravity from one-loop amplitudes

Chi

2019

Phys. Rev. D

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We study the bending of gravitons that pass near a massive object like the Sun, using scattering amplitudes in which the Sun is represented by a massive scalar particle. Our results complete previous work on the bending angles of massless spin-0, spin-1 2 and spin-1 particles [1][2][3], and provides more evidence for the violation of the equivalence principle at the quantum level, in the sense that the quantum corrections to bending angles for massless particles with different spins are different. We provide a universal expression for the bending angle in terms of coefficients of triangle and bubble integrals in the amplitudes in the low energy limit. We also compare bending angles for scalar, photon and graviton projectiles under different circumstances.

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confidence: 99%

Graviton bending in quantum gravity from one-loop amplitudes

Chi

2019

Phys. Rev. D

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“…for these black holes the photon sphere is relatively at the same distance from the horizon than it is for a Schwarzschild black hole. Once x m is known, it is straightforward to compute also the critical impact parameter b c = b(x m ) using equation (16). Studying the relation between b c and x h we find that their ratio increases with φ0 : for the black holes that we are considering, the horizon is smaller than it is for a Schwarzschild black hole, but they capture photons over a larger radius in relation to the size of their horizon.…”

Section: Numerical Implementation and Resultsmentioning

confidence: 92%

“…Findings are diverse, depending on the specific model under consideration, black hole solutions may or may not be the same as in GR, either exactly or asymptotically. An ‡ There are exceptions, in [16] a numerical computation is presented for the deflection angle in higher derivative gravity theories, however, the method is tested against weak deflection data.…”

Section: Introductionmentioning

confidence: 99%

Strong gravitational lensing by DHOST black holes

Chagoya¹,

Ortiz²,

Rodríguez³

et al. 2021

Class. Quantum Grav.

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The gravitational deflection of light in the strong field limit is an important test for alternative theories of gravity. However, solutions for the metric that allow for analytic computations are not always available. We implement a hybrid analytic-numerical approximation to determine the deflection angle in static, spherically symmetric spacetimes. We apply this to a set of numerical black hole solutions within the class of modified gravity theories known as degenerate higher order scalar–tensor theories (DHOST). Comparing our results to a more time consuming full numerical integration, we find that we can accurately describe the deflection angle for light rays passing at arbitrary distances from the photon sphere with a combination of two analytic-numerical approximations. Furthermore, we find a range of parameters where our DHOST black holes predict strong lensing effects whose size is comparable with the uncertainty in the properties of the supermassive black hole in M87 reported by the event horizon telescope, showing that strong lensing is a viable alternative to put constraints on these models of modified gravity.

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“…[14][15][16][17][18][19][20][21]. In addition, the effects of the rainbow functions have also been discussed in several other scenarios, see for instance [22][23][24]. Moreover, the gravity's rainbow was investigated in Gauss-Bonnet gravity [25], massive gravity [26] and f (R) gravity [27].…”

Section: Introductionmentioning

confidence: 99%

Deformed Starobinsky model in gravity’s rainbow

Channuie

2019

Eur. Phys. J. C

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In the context of gravity's rainbow, we study the deformed Starobinsky model in which the deformations take the form f (R) ∼ R 2(1−α) , with R the Ricci scalar and α a positive parameter. We show that the spectral index of curvature perturbation and the tensor-toscalar ratio can be written in terms of N, λ and α, with N being the number of e-foldings, λ a rainbow parameter. We compare the predictions of our models with Planck data. With the sizeable number of e-foldings and proper choices of parameters, we discover that the predictions of the model are in excellent agreement with the Planck analysis. Interestingly, we obtain the upper limit and the lower limit of a rainbow parameter λ and a positive constant α, respectively.PACS numbers: I. INTRODUCTIONThe prediction of a minimal measurable length in order of Planck length in various theories of quantum gravity restricts the maximum energy that any particle can attain to the Planck energy. This could be implied the modification of linear momentum and also quantum commutation relations and results the modified dispersion relation. Moreover, as an effective theory of gravity, the Einstein general theory of gravity is valid in the low energy (IR) limit, while at very high energy regime (UV) the Einstein theory could in principle be improved.One of the interesting approaches that naturally deals with modified dispersion relations is called doubly special relativity [1][2][3]. Then Magueijo and Smolin [4] generalized this idea by including curvature. The modification of the dispersion relation results by replacing the standard one, i.e.

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Determination of angle of light deflection in higher-derivative gravity theories

Cited by 7 publications

References 69 publications

Graviton bending in quantum gravity from one-loop amplitudes

Graviton bending in quantum gravity from one-loop amplitudes

Strong gravitational lensing by DHOST black holes

Deformed Starobinsky model in gravity’s rainbow

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