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In this work, we derive non-commutative corrections to the Schwarzschild-Anti-de Sitter solution up to the first and second orders of the non-commutative parameter $\Theta$. Additionally, we obtain the corresponding deformed effective…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Mohamed Aimen Larbi , Slimane Zaim , Abdellah Touati

In this work, we study the constraints on the characteristic parameters $(\zeta,b)$ of the Deser-Woodard nonlocal gravity model in a static and spherically symmetric background, using four classes of high-precision Solar-System experiments:…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Yunlong Liu , Yongbin Du

By considering particles as smeared objects, we investigate the effects of space noncommutativity on the orbits of particles in Schwarzschild spacetime. The effects of space noncommutativity on the value of the precession of the perihelion…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Siamak Akhshabi

In this work we study the geodesic motion on a noncommutative space-time. As a result we find a non-commutative geodesic equation and then we derive corrections of the deviation angle per revolution in terms of the non-commutative parameter…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa , R. G. G. Amorim , A. F. Santos

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

The theory of noncommutative geometry provides an interesting mathematical background for developing new physical models. In particular, it allows one to describe the classical Standard Model coupled to Euclidean gravity. However,…

Mathematical Physics · Physics 2014-09-05 Nicolas Franco , Michał Eckstein

In this work, we construct a non-commutative (NC) gauge theory of gravity for any metric with spherical symmetries, where we use a non-diagonal tetrad field. The deformed gauge potentials (tetrad fields) and the components of deformed…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Abdellah Touati , Slimane Zaim

The classical tests of general relativity - light deflection, time delay and perihelion shift - are applied, along with the geodetic precession test, to the five-dimensional extension of the theory known as Kaluza-Klein gravity, using an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongya Liu , James Overduin

Noncommutative algebra which is rotationally invariant, time reversal invariant and equivalent to noncommutative algebra of canonical type is considered. Perihelion shift of orbit of a particle in Coulomb potential in the…

Quantum Physics · Physics 2021-04-27 Kh. P. Gnatenko

Noncommutativity of the spacetime coordinates has been explored in several contexts, mostly associated to phenomena at the Planck length scale. However, approaching this question through deformation theory and the principle of stability of…

High Energy Physics - Theory · Physics 2019-06-19 R. Vilela Mendes

This paper investigates the influence of non-commutative geometry on various aspects of neutrino behavior in curved spacetime. Adopting a Schwarzschild-like black hole solution with Lorentzian mass deformation induced by non-commutativity,…

General Relativity and Quantum Cosmology · Physics 2025-04-08 A. A. Araújo Filho , N. Heidari , Yuxuan Shi

We analyze $e^{+}e^{-}\rightarrow \gamma\gamma$, $e^{-}\gamma \rightarrow e^{-}\gamma$ and $\gamma\gamma \rightarrow e^{+}e^{-} $ processes within the Seiberg-Witten expanded noncommutative scenario using polarized beams. With unpolarized…

High Energy Physics - Phenomenology · Physics 2015-03-19 Sumit K. Garg , T. Shreecharan , P. K. Das , N. G. Deshpande , G. Rajasekaran

A deformed Bianchi type I metric in noncommutative gauge gravity is obtained. The gauge potential (tetrad fields) and scalar curvature are determined up to the second order in the noncommutativity parameters. The noncommutativity correction…

High Energy Physics - Theory · Physics 2010-12-27 S. Zaim , Z. Aouachria

We study the influence of the spacetime noncommutative parameter on the strong field gravitational lensing in the noncommutative Reissner-Nordstr\"{o}m black-hole spacetime. Supposing that the gravitational field of the supermassive central…

General Relativity and Quantum Cosmology · Physics 2011-10-14 Chikun Ding , Jiliang Jing

We study the effects of noncommutativity of spacetime geometry on the thermodynamical properties of the de Sitter horizon. We show that noncommutativity results in modifications in temperature, entropy and vacuum energy and that these…

General Relativity and Quantum Cosmology · Physics 2009-03-24 B. Vakili , N. Khosravi , H. R. Sepangi

Noncommutative geometry may be a starting point to a quantum gravity. We study the influence of the spacetime noncommutative parameter on the strong field gravitational lensing in the noncommutative Schwarzschild black-hole spacetime and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chikun Ding , Shuai Kang , Chang-Yong Chen , Songbai Chen , Jiliang Jing

We explore the shifted $f(R) (\propto R^{1+\delta})$ model with ${\delta}$ as a distinguishing physical parameter for the study of constraints at local scales. The corresponding dynamics confronted with different geodesics (null and…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-05 Vipin Kumar Sharma , Murli Manohar Verma

The phenomenological investigation of noncommutative space-time in the laboratory frame are presented. We formulate the apparent time variation of noncommutativity parameter $\theta_{\mu\nu}$ in the laboratory frame due to the earth's…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jun-ichi Kamoshita

There are good reasons to suspect that spacetime at Planck scales is noncommutative. Typically this noncommutativity is controlled by fixed "vectors" or "tensors" with numerical entries. For the Moyal spacetime, it is the antisymmetric…

High Energy Physics - Theory · Physics 2014-11-20 A. P. Balachandran , Anosh Joseph , Pramod Padmanabhan

In this paper, we investigate the effects of non-commutative phase-space on the quintom cosmological model. In that case, we discuss $\Lambda_{1}$, $\Lambda_{2}$ and other cosmological parameters and show that they are associated to…

High Energy Physics - Theory · Physics 2018-02-22 J. Sadeghi , B. Pourhassan , Z. Nekouee , M. Shokri
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