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We show that Solar System tests can place very strong constraints on K-mouflage models of gravity, which are coupled scalar field models with nontrivial kinetic terms that screen the fifth force in regions of large gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-28 Alexandre Barreira , Philippe Brax , Sebastien Clesse , Baojiu Li , Patrick Valageas

Forces in the systems of two opposite sign and three identical charges coupled to the dynamical scalar field of the signum-Gordon model are investigated. Three-body force is present, and the exact formula for it is found. Flipping the sign…

High Energy Physics - Theory · Physics 2015-06-17 H. Arodz , J. Karkowski , Z. Swierczynski

Screened scalar fields such as the symmetron provide a viable description of dark energy yet their laboratory detection remains challenging. We propose an optomechanical scheme to constrain symmetron interactions using two optically…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Jiawei Li , Ka-Di Zhu

In this work we introduce a planar restricted four-body problem where a massless particle moves under the gravitational influence due to three bodies following the eight figure choreography, and we explore some symmetric periodic orbits of…

Dynamical Systems · Mathematics 2019-10-29 Ricardo Lara , Abimael Bengochea

We discuss the influence of the cosmological constant on the gravitational equations of motion of bodies with arbitrary masses and eventually solve the two-body problem. Observational constraints are derived from measurements of the…

Astrophysics · Physics 2009-11-11 Ph. Jetzer , M. Sereno

The Noether symmetry analysis is applied in a multi-scalar field cosmological model in teleparallel gravity. In particular, we consider two scalar fields with interaction in scalar-torsion theory. The field equations have a minisuperspace…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Konstantinos F. Dialektopoulos , Genly Leon , Andronikos Paliathanasis

We consider the gauging of space translations with time-dependent gauge functions. Using fixed time gauge of relativistic theory, we consider the gauge-invariant model describing the motion of nonrelativistic particles. When we use…

High Energy Physics - Theory · Physics 2009-10-31 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

We analyze the cosmology of a general Scalar-Tensor theory which encompasses generalized Brans-Dicke theory, Gauss-Bonnet gravity, non-minimal derivative gravity, generalized Galileon gravity and also the general k-essence type models.…

General Relativity and Quantum Cosmology · Physics 2017-03-07 Erfan Masaeli , Meysam Motaharfar , Hamid Reza Sepangi

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces. One case of such a system is neutron-deuteron scattering at low energies. We demonstrate that in attractive channels the…

Nuclear Theory · Physics 2009-11-10 I. R. Afnan , Daniel R. Phillips

In any scalar-tensor theory of gravity exhibiting a screening mechanism, the fifth force mediated by the scalar field is dynamically suppressed at sub-Solar system scales, allowing it to pass existing tests of gravity. As a result, a major…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Hugo Lévy , Jean-Philippe Uzan

Recently an interesting conjecture was put forward which states that any asymptotically de Sitter space whose mass exceeds that of exact de Sitter space contains a cosmological singularity. In order to test this mass bound conjecture, we…

High Energy Physics - Theory · Physics 2009-11-07 Rong-Gen Cai , Yun Soo Myung , Yuan-Zhong Zhang

The importance and usefulness of renormalization are emphasized in nonrelativistic quantum mechanics. The momentum space treatment of both two-body bound state and scattering problems involving some potentials singular at the origin…

High Energy Physics - Theory · Physics 2008-11-26 Sadhan K. Adhikari , Angsula Ghosh

We present a comprehensive derivation of linear perturbation equations for different matter species, including photons, baryons, cold dark matter, scalar fields, massless and massive neutrinos, in the presence of a generic conformal…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-01 Alexandre Barreira , Philippe Brax , Sebastien Clesse , Baojiu Li , Patrick Valageas

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of…

High Energy Physics - Theory · Physics 2019-10-30 Daisuke Yoshida

The relationships between the fundamental dynamics and diffraction phenomena in scattering from two-body composite system are discussed. A new simple formula for the shadow corrections to the total cross-section in scattering from deuteron…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Arkhipov

We study cosmological solutions in the context of 4-dimensional low energy Heterotic M-theory with moving bulk branes. In particular we present non-trivial, analytic axion solutions generated by new symmetries of the full potential-free…

High Energy Physics - Theory · Physics 2009-11-10 B. de Carlos , J. Roberts , Y. Schmohe

Cross-correlating two different types of galaxy gives rise to parity breaking in the correlation function that derives from differences in the galaxies' properties and environments. This is typically associated with a difference in galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-25 Darsh Kodwani , Harry Desmond

In massive gravity, galileon, and braneworld explanations of cosmic acceleration, force modifications are screened by nonlinear derivative self-interactions of the scalar field mediating that force. Interactions between the field of a…

High Energy Physics - Theory · Physics 2013-04-03 Takashi Hiramatsu , Wayne Hu , Kazuya Koyama , Fabian Schmidt

We reduce two-body problem to the one-body problem in general case of deformed Heisenberg algebra leading to minimal length.Two-body problems with delta and Coulomb-like interactions are solved exactly. We obtain analytical expression for…

Quantum Physics · Physics 2018-01-17 M. I. Samar , V. M. Tkachuk

The two-body problem in General Relativity has been the subject of many analytical investigations. After reviewing some of the methods used to tackle this problem (and, more generally, the N-body problem), we focus on a new, recently…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Thibault Damour