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We propose a new approach for the study of the time evolution of a factorized $N$-particle bosonic wave function with respect to a mean-field dynamics with a bounded interaction potential. The new technique, which is based on the control of…

Mathematical Physics · Physics 2009-11-13 Laszlo Erdos , Benjamin Schlein

We study the effects of cut-off physics, in the form of a modified algebra inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty Principle representation, on the collapse of a spherical dust cloud. We analyze both the…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Gabriele Barca , Giovanni Montani

There is no consensus among today's physicists about how to describe the gravitational interaction properly in a quantum framework. We propose in this paper an experimental test aimed at revealing the existence of a non-linear…

Quantum Physics · Physics 2023-03-08 Mohamed Hatifi , Thomas Durt

We calculate the metric for a self-gravitating and collapsing infinitely-thin spherical shell under the theory of post-Newtonian approximation, and successfully recover the shell's energy-momentum tensor from the achieved metric. The…

General Physics · Physics 2024-10-08 Wenbin Lin

[abridged] Chern-Simons (CS) modified gravity is a 4D effective theory that descends both from string theory and loop quantum gravity, and that corrects the Einstein-Hilbert action by adding the product of a scalar field and the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Carlos F. Sopuerta , Nicolas Yunes

We propose an action-based $ f(R) $ modification of Einstein's gravity which admits of a modified Schwarzschild-deSitter metric. In the weak field limit this amounts to adding a small logarithmic correction to the newtonian potential. A…

Astrophysics · Physics 2009-11-11 Y. Sobouti

The gravitational potential and the gravitational rotation field generated by a thin-disk mass distribution with exponential density are considered in the case when the force between any two mass elements is not the usual Newtonian one, but…

Astrophysics · Physics 2007-05-23 Carlos Rodrigo-Blanco

Chern-Simons modified gravity is a string-theory and loop-quantum-gravity inspired effective theory that modifies General Relativity by adding a parity-violating Pontryagin density to the Einstein-Hilbert action multiplied by a coupling…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Nicolas Yunes , David N. Spergel

Random jitter in the soliton arrival time (the Gordon-Haus effect) is analyzed for solitons being solutions of the integrable modified nonlinear Schroedinger equation. It is shown that the mean square fluctuation of the soliton position…

Exactly Solvable and Integrable Systems · Physics 2009-10-31 E. V. Doktorov , I. S. Kuten

This work relates to the famous experiments, performed in 1975 and 1979 by Werner et al., measuring neutron interference and neutron Sagnac effects in the earth's gravitational field. Employing the method of Stodolsky in its weak field…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Andrei Galiautdinov , Lewis H. Ryder

Propagation of light in the gravitational field of self-gravitating spinning bodies moving with arbitrary velocities is discussed. The gravitational field is assumed to be "weak" everywhere. Equations of motion of a light ray are solved in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei Kopeikin , Bahram Mashhoon

The idea of possible modification to gravity theory, whether it is in the Newtonian or general relativistic premises, is there for quite sometime. Based on it, astrophysical and cosmological problems are targeted to solve. But none of the…

General Relativity and Quantum Cosmology · Physics 2022-01-02 Agrim Sharma , Banibrata Mukhopadhyay

We consider a coplanar system comprised of a massive central body (a star), a less massive secondary (a planet) on a circular orbit, and a test particle on a bound orbit exterior to that of the secondary. The gravitational pull exerted on…

Earth and Planetary Astrophysics · Physics 2012-08-13 Kei Yamada , Hideki Asada

We consider quantum mechanical effects of the modified Newtonian potential in the presence of extra compactified dimensions. We develop a method to solve the resulting Schroedinger equation and determine the energy shifts caused by the…

High Energy Physics - Phenomenology · Physics 2011-06-27 E. G. Floratos , G. K. Leontaris , N. D. Vlachos

We consider a non-rotating, massive test particle acted upon by a "pressure"-type, non-geodesic acceleration arising from a certain general class of gravitational theories with nonminimal coupling between the matter and the metric. The…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Lorenzo Iorio

In gravitational scattering the quantum particle probes the Fourier-transforms of a metric. I evaluate the Fourier-transforms of Schwarzschild metrics in standard, harmonic and other coordinate systems in linear and $G^2-$approximations. In…

General Physics · Physics 2018-05-23 A. I. Nikishov

The Jordan-Brans-Dicke theory of gravitation, which promotes the gravitational constant to a dynamical scalar field, predicts a value for the Eddington-Robertson post-Newtonian parameter gamma that is significantly different from the…

General Relativity and Quantum Cosmology · Physics 2012-12-12 John W. Moffat , Viktor T. Toth

In this paper it is argued how the dynamics of the classical Newtonian N-body system can be described in terms of the Schr$\ddot{o}$dinger-Poisson equations in the large $N$ limit. This result is based on the stochastic quantization…

General Relativity and Quantum Cosmology · Physics 2017-09-29 Fabio Briscese

Gravitational interactions were studied by measuring the influence of small external field masses on a microwave resonator. It consisted of two spherical mirrors, which acted as independent pendulumsindividually suspended by strings. Two…

General Relativity and Quantum Cosmology · Physics 2025-01-13 W. Bartel , C. W. Elvers , L. Jönsson , G. Kempf , H. Krause , B. Loehr , E. Lohrmann , H. Meyer , P. Steffen , E. Wuensch

We develop the suggestion that dark matter could be a Bose-Einstein condensate. We determine the mass-radius relation of a Newtonian self-gravitating Bose-Einstein condensate with short-range interactions described by the…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 P. H. Chavanis , L. Delfini