Gravitational deflection of massive particles in classical and semiclassical general relativity

Accioly, Antonio; Ragusa, S.

doi:10.1088/0264-9381/19/21/308

Cited by 36 publications

(46 citation statements)

References 12 publications

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“…Interestingly, Accioly and Ragusa [34] have shown that in semi-classical general relativity, the bending of light is dependent on v c , and that when 0 v = , one gets the Soldner formula for Newtonian bending of light. When v c = one gets the Einsteinian bending of light result.…”

Section: Gravitational Light Deflectionmentioning

confidence: 99%

Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Haug¹

2018

IJAA

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Here we derive Newton's and Einstein's gravitational results for any mass less than or equal to a Planck mass. All of the new formulas presented in this paper give the same numerical output as the traditional formulas. However, they have been rewritten in a way that gives a new perspective on the formulas when working with gravity at the level of the subatomic world. To rewrite the well-known formulas in this way could make it easier to understand the strengths and weaknesses in Newton's and Einstein's gravitation formulas at the subatomic scale, potentially opening them up for new important interpretations and extensions. For example, we suggest that the speed of gravity equal to that of light is actually embedded and hidden inside of Newton's gravitational formula.

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Section: Gravitational Light Deflectionmentioning

confidence: 99%

Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Haug¹

2018

IJAA

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“…Gravitational deflection of massive particles has been studied by numerous authors, both in the general relativistic weak lensing limit (Lowenthal 1973), strong lensing limit (Tsupko 2014)and in semi-classical gravity (Accioly & Ragusa 2002;Accioly & Paszko 2004).…”

Section: Introductionmentioning

confidence: 99%

Gravitational Lensing Time Delays with Massive Photons

Glicenstein

2017

ApJ

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This paper investigates the use of gravitational time delays of macro-lenses to constrain a possible photon mass. The time delay between the 2 compact images of a source of massive photons is computed. Explicit expressions are given for Schwarzschild and singular isothermal lenses. In the latter case, the time delay is very insensitive to the photon mass. Modeling lens galaxies by a singular isothermal model and a central supermassive black hole, the photon mass-dependent part of the time delay between the compact images is shown to be proportional to the mass of the black hole. The sensitivity of time delays to the photon mass is illustrated by a bound obtained from 3 AGN which have measurements in several passbands. The bound obtained is comparable to the limit with the deflection of radio waves by the Sun.

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“…The former equation gives the gravitational deflection angle for a massless particle, a result foreseen by Einstein a long time ago, whereas the latter just gives the prediction of general relativity for the bending of a massive particle by an external weak gravitational field [39]. The results of …”

Section: (E)mentioning

confidence: 98%

Interesting Examples of Violation of the Classical Equivalence Principle but Not of the Weak One

Accioly

Herdy

2018

Advances in High Energy Physics

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The equivalence principle (EP) and Schiff 's conjecture are discussed en passant, and the connection between the EP and quantum mechanics is then briefly analyzed. Two semiclassical violations of the classical equivalence principle (CEP) but not of the weak one (WEP), i.e., Greenberger gravitational Bohr atom and the tree-level scattering of different quantum particles by an external weak higher-order gravitational field, are thoroughly investigated afterwards. Next, two quantum examples of systems that agree with the WEP but not with the CEP, namely, COW experiment and free fall in a constant gravitational field of a massive object described by its wave-function Ψ, are discussed in detail. Keeping in mind that, among the four examples focused on in this work only COW experiment is based on an experimental test, some important details related to it are presented as well.

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Gravitational deflection of massive particles in classical and semiclassical general relativity

Cited by 36 publications

References 12 publications

Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Gravitational Lensing Time Delays with Massive Photons

Interesting Examples of Violation of the Classical Equivalence Principle but Not of the Weak One

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