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Using mixed numerical and analytical methods we give evidence that the 6+1 dimensional Taub-NUT soliton is asymptotically nonlinearly stable against small perturbations preserving biaxial Bianchi IX symmetry. We also show that for…

General Relativity and Quantum Cosmology · Physics 2010-09-01 Marek Lipert

Recently introduced classical theory of gravity in non-commutative geometry is studied. The most general (four parametric) family of $D$ dibensional static spherically symmetric spacetimes is identified and its properties are studied in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

We discuss extension of soliton theories and integrable systems into noncommutative spaces. In the framework of noncommutative integrable hierarchy, we give infinite conserved quantities and exact soliton solutions for many noncommutative…

Mathematical Physics · Physics 2015-05-20 Masashi Hamanaka

Composite system is studied in noncommutative phase space with preserved rotational symmetry. We find conditions on the parameters of noncommutativity on which commutation relations for coordinates and momenta of the center-of-mass of…

Quantum Physics · Physics 2018-02-27 Kh. P. Gnatenko , V. M. Tkachuk

We investigate the transition behavior of the two-level atom as the Unruh-DeWitt detector outside a noncommutative black hole. When the mass of the black hole is small enough, the difference between the commutative and noncommutative black…

High Energy Physics - Theory · Physics 2023-12-29 Jingran Shi , Yipeng Liu , Baocheng Zhang

We consider non-commutating Simpson-Visser spacetime and study the superradiance phenomena and the shadow cast by the back hole associated with this modified spacetime. We extensively study the different aspects of the black hole associated…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Sohan Kumar Jha , Anisur Rahaman

In this work, we explore a gravitational non-commutative black hole by gauging the de Sitter SO(4,1) group and employing the Seiberg-Witten map. Specifically, we examine modifications of non-commutativity represented through mass…

General Relativity and Quantum Cosmology · Physics 2025-07-02 A. A. Araújo Filho , N. Heidari , Ali Övgün

We study solitons in three dimensional non-commutative scalar field theory at infinite non-commutativity parameter. We find the metric on the relative moduli space of all solitons of the form |n><n| and show that it is Kahler. We then find…

High Energy Physics - Theory · Physics 2009-10-31 Ulf Lindstrom , Martin Rocek , Rikard von Unge

Adopting noncommutative spacetime coordinates, we determined a new solution of Einstein equations for a static, spherically symmetric matter source. The limitations of the conventional Schwarzschild solution, due to curvature singularities,…

High Energy Physics - Theory · Physics 2007-05-23 Piero Nicolini

Recent work in the literature has studied the quantum-mechanical decay of a Schwarzschild-like black hole, formed by gravitational collapse, into almost-flat space-time and weak radiation at a very late time. The relevant quantum amplitudes…

High Energy Physics - Theory · Physics 2009-11-11 Elisabetta Di Grezia , Giampiero Esposito , Gennaro Miele

We consider the classical equations of the Einstein-Yang-Mills model in five space-time dimensions and in the presence of a cosmological constant. We assume that the fields do not depend on the extra dimension and that they are spherically…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate

Noncommutative invariant theory is a generalization of the classical invariant theory of the action of $SL(2,\IC)$ on binary forms. The dimensions of the spaces of invariant noncommutative polynomials coincide with the numbers of certain…

Combinatorics · Mathematics 2012-12-06 Franz Lehner

We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski", "quasi anti-de…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Naoya Okuyama , Kei-ichi Maeda

In this paper, we analyze the thermodynamic stability of Schwarzschild Modified Gravity (MOG) black holes in a non-commutative framework. We show that, unlike a commutative MOG black hole, in the coherent state picture of non-commutativity…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Sara Saghafi , Koroush Nozari , Milad Hajebrahimi

Motivated by string theory, we constrain non-commutative black hole parameters through shadow behaviors using machine learning techniques combined by CUDA computations. To do so, we first investigate the structure of the event horizon of…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Maryem Jemri

A non-commutative multi-dimensional cosmological model is introduced and used to address the issues of compactification and stabilization of extra dimensions and the cosmological constant problem. We show that in such a scenario these…

High Energy Physics - Theory · Physics 2009-11-11 N. Khosravi , S. Jalalzadeh , H. R. Sepangi

When coordinates are noncommutative, the Hall effect is reinvestigated. The Hall conductivity is expressed with noncommutative parameters, so that in the commutative limit it tends to the conventional result.

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

We investigate dyonic black holes in a weak field expansion of non-linear electrodynamics. The breadth of parameter space permits a rich thermodynamic structure, additional turning points and intricate phase phenomena. Energy conditions are…

High Energy Physics - Theory · Physics 2025-10-07 Lewis Croney , Ruth Gregory , Carlos J. Ramírez-Valdez

Theories on the bosonic nature of dark matter are a promising alternative to the cold dark matter model. Here we consider a dark matter halo in the state of a Bose-Einstein condensate, subject to the gravitation of a black hole. In the low…

General Relativity and Quantum Cosmology · Physics 2023-10-11 Ludovica Dieli , Claudio Conti

The noncommutativity concept has wide range of applications in physical and mathematical theories. Noncommutativity in the position-time coordinates concerns the microscale structure of space-time. the noncommutativity is an intrinsic…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Behrooz Malekolkalami , Taimur Mohammadi