Light bending in the galactic halo by Rindler-Ishak method

Bhattacharya, Amrita; Isaev, Ruslan; Scalia, Massimo; Cattani, Carlo; Nandi, K. K.

doi:10.1088/1475-7516/2010/09/004

Cited by 31 publications

(36 citation statements)

References 21 publications

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“…(87) Observe that in both cases, the GR second order mass correction found in Refs. [104,106,107] is recovered. In general, for a Taylor expandable f (T ) model within the regime of weak gravitational fields, the first deviation from GR appears at O(M 3 ), having the form…”

Section: Light Bendingmentioning

confidence: 99%

Gravitoelectromagnetism, Solar System Tests, and Weak-Field Solutions in f (T,B) Gravity with Observational Constraints

2020

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Gravitomagnetism characterize phenomena in the weak field limit within the context of rotating systems. These are mainly manifested in the geodetic and Lense-Thirring effects. The geodetic effect describes the precession of the spin of a gyroscope in orbit about a massive static central object, while the Lense-Thirring effect expresses the analogous effect for the precession of the orbit about a rotating source. In this work, we explore these effects in the framework of Teleparallel Gravity and investigate how these effects may impact recent and future missions. We find that teleparallel theories of gravity may have an important impact on these effects which may constrain potential models within these theories.

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Section: Light Bendingmentioning

confidence: 99%

Gravitoelectromagnetism, Solar System Tests, and Weak-Field Solutions in f (T,B) Gravity with Observational Constraints

2020

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“…In this sense, S. Pireaux presents a series of papers giving account of the critical distances of photons [12], and the constraints on the linear parameters of the theory [13]. After that, based on the works by Rindler and Ishak [14][15][16], in which they show that the deflection of light is influenced by the cosmological constant, several authors have tried to investigate the influence of the Weyl parameter in the deflection of light (see, for example, [18,19]). Unfortunately, this deduction is not entirely exact.…”

Section: Introductionmentioning

confidence: 99%

On the null trajectories in conformal Weyl gravity

Villanueva

Olivares

2013

J. Cosmol. Astropart. Phys.

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In this work we find analytical solutions to the null geodesics around a black hole in the conformal Weyl gravity. Exact expressions for the horizons are found, and they depend on the cosmological constant and the coupling constants of the conformal Weyl gravity. Then, we study the radial motion from the point of view of the proper and coordinate frames, and compare it with that found in spacetimes of general relativity. The angular motion is also examined qualitatively by means of an effective potential; quantitatively, the equation of motion is solved in terms of ℘-Weierstrass elliptic function. Thus, we find the deflection angle for photons without using any approximation, which is a novel result for this kind of gravity.

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“…Due to the complicated behavior of gravitational interaction in general relativity and its extended formulations, it is often a challenging task to calculate the deflection angle in full generality and such calculations may be categorized into two types: explicit and implicit. Explicit calculations [9,11,15,16,19,24,27,28,31,33,34,48,50,57,66] involve evaluating some complicated integrals often representable in terms of special functions (e.g., elliptic functions). Implicit calculations [3][4][5][6]8,29,32,38,49,51] amount to finding solutions to some complicated nonlinear equations.…”

Section: Introductionmentioning

confidence: 99%

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

Yang

2018

Journal of Mathematical Physics

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Gravitational light deflection is known as one of three classical tests of general relativity and the angle of deflection may be computed explicitly using approximate or exact solutions describing the gravitational force generated from a point mass. In various generalized gravity theories, however, such explicit determination is often impossible due to the difficulty with obtaining an exact expression for the deflection angle. In this work, we present some highly effective globally convergent iterative methods to determine the angle of semiclassical gravitational deflection in higher-and infinite-derivative formalisms of quantum gravity theories. We also establish the universal properties that the deflection angle always stays below the classical Einstein angle and is a strictly decreasing function of the incident photon energy, in these formalisms.

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Light bending in the galactic halo by Rindler-Ishak method

Cited by 31 publications

References 21 publications

Gravitoelectromagnetism, Solar System Tests, and Weak-Field Solutions in f (T,B) Gravity with Observational Constraints

Gravitoelectromagnetism, Solar System Tests, and Weak-Field Solutions in f (T,B) Gravity with Observational Constraints

On the null trajectories in conformal Weyl gravity

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

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