Article
Astronomy & Astrophysics
Sourav Roy Chowdhury, Debabrata Deb, Farook Rahaman, Saibal Ray, B. K. Guha
Summary: The behavior of the noncommutative radiating Schwarzschild black hole in Finslerian spacetime was studied, revealing variations in the number of horizons and minimal mass with the Finslerian parameter. The study also found changes in the maximum temperature and stability of the black hole with the Finslerian parameter. The presence of a stable black hole remnant was suggested, uniquely determined by Finslerian and noncommutative parameters.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Review
Physics, Multidisciplinary
Marija Dimitrijevic Ciric, Dusan Dordevic, Dragoljub Gocanin, Biljana Nikolic, Voja Radovanovic
Summary: This paper mainly discusses the construction of topological gravity as a gauge field theory for the AdS gauge group SO(2, 2n - 1) in a 2n-dimensional spacetime by adding scalar fields. It also studies the noncommutative star-product deformation of the four-dimensional AdS gauge theory of gravity and its phenomenological consequences. Additionally, it explores the connection between topological gravity in four dimensions and five-dimensional Chern-Simons gauge theory through Kaluza-Klein reduction.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2023)
Article
Mathematics, Applied
Rafael Ferreira, Joao dos Reis, Carlos H. Grossi
Summary: The paper presents and discusses the remarkable interplay between the central elements of hyperbolic geometry and special relativity, specifically focusing on the classifying space of inertial reference frames. It aims to provide a geometric definition/description of physical concepts/phenomena, ultimately revealing the distinct geometric natures of kinematic spaces in special relativity and classical mechanics.
JOURNAL OF GEOMETRY AND PHYSICS
(2022)
Article
Astronomy & Astrophysics
T. Anson, E. Babichev, C. Charmousis
Summary: We analyze the post-Newtonian orbit of stars around a deformed Kerr black hole and show that for generic nonzero D, the no-hair theorem of general relativity is violated.
Article
Mathematics
Goncalo Tabuada
Summary: In this article, we extend the Weil conjecture and the strong form of the Tate conjecture to the noncommutative setting of dg categories, establishing functional equations and computing absolute values. We also provide a complete description of the category of noncommutative numerical motives. The article proves various cases of the noncommutative Weil conjecture and the strong form of the Tate conjecture.
ADVANCES IN MATHEMATICS
(2022)
Article
Physics, Particles & Fields
Nabamita Banerjee, Arpita Mitra, Debangshu Mukherjee, H. R. Safari
Summary: This passage discusses the deformations of the bms(3) and bms(4) algebras, namely the W(a, b) and W(a, b; (a) over bar, (b) over bar) algebras. It presents a N = 2 supersymmetric extension of both algebras with Rsymmetry generators. The analysis reveals the most generic central extensions of the W(a, b) algebra and the absence of an infinite U(1)(V) x U(1)(A) extension for the W(a, b; (a) over bar, (b) over bar) algebra with linear and quadratic structure constants.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Astronomy & Astrophysics
Surajit Kalita, T. R. Govindarajan, Banibrata Mukhopadhyay
Summary: This paper explores the concept of a squashed fuzzy sphere to explain the super-Chandrasekhar limiting mass white dwarfs. The researchers found that the length scale where noncommutativity is prominent is an emergent phenomenon, without the need for an ad hoc length scale.
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
(2021)
Article
Mathematics
Fabio E. G. Cipriani, Daniele Guido, Tommaso Isola, Jean-Luc Sauvageot
Summary: A quantized version of the Sierpinski gasket is proposed as a C*-algebra A infinity with self-similarity. Various properties of A infinity are studied, including its nuclearity and the structure of ideals. A harmonic structure and a spectral triple are introduced, and it is shown that A infinity is a compact quantum metric space.
JOURNAL OF FUNCTIONAL ANALYSIS
(2022)
Article
Physics, Mathematical
Carlos Castro Perelman
Summary: We construct the novel Clifford-Yang algebra, which extends the Yang algebra in noncommutative phase spaces. The Clifford-Yang algebra allows us to write down the commutators of noncommutative polyvector-valued coordinates and momenta, paving the way for a formulation of quantum mechanics in noncommutative Clifford spaces. We study the isotropic 3D quantum oscillator in noncommutative spaces and find different energy eigenvalues and eigenfunctions compared to the ordinary quantum oscillator in commutative spaces. Generalizing quantum mechanics to noncommutative Clifford spaces is achieved via the Clifford-Yang algebra, where the operators involve polyvector coordinates and momenta.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
(2023)
Article
Astronomy & Astrophysics
Carlos Castro Perelman
Summary: After introducing Born's reciprocal relativity theory, this article reviews the construction of the deformed quaplectic algebra which involves noncommutative fiber coordinates and momenta. The article also explores algebraic extensions of the Yang algebra in extended noncommutative phase spaces and finds an exact solution for the mapping of noncommuting operator variables to canonical operator variables in flat phase spaces. The article further investigates the geometrical implications of this mapping and establishes a direct link between noncommutative curved phase spaces in lower dimensions and commutative flat phase spaces in higher dimensions.
Article
Astronomy & Astrophysics
Ankur, Sanjib Dey
Summary: We have studied charged BTZ black holes in noncommutative spaces using two independent approaches. The first approach revealed the existence of non-static and non-stationary black holes, while the second approach provided stability and physical viability by introducing proper restrictions on the noncommutative parameter. The thermodynamics of the black holes from both approaches were analyzed using a contemporary tunneling formalism.
Article
Mathematics, Applied
Kostas Tzanavaris, Pau Amaro Seoane
Summary: In the context of mathematical cosmology, this work studies the necessary and sufficient conditions for a semi-Riemannian manifold to be a (generalized) Robertson-Walker space-time. The authors present a geometric derivation of a condition that does not depend on the field equations, but instead requires the existence of a unit vector field to distinguish sectional curvatures at each point in space. They establish a local isometry between the space and a Robertson-Walker space of the same dimension, curvature, and metric tensor sign, with the remarkable result that this isometry is global if the space is simply-connected. This result extends the local isometry theorem for spaces of the same constant curvature, dimension, and metric tensor sign to a class of spaces with non-constant curvature.
JOURNAL OF GEOMETRY AND PHYSICS
(2022)
Article
Physics, Particles & Fields
Christian Pfeifer, Jose Javier Relancio
Summary: This article presents a systematic analysis of how deformed relativistic kinematics can be lifted to curved spacetimes in terms of a self-consistent cotangent bundle geometry. The analysis shows that momentum space metrics can be consistently lifted to curved spacetimes if they satisfy certain conditions. The article also discusses the connection between this construction and non-commutative spacetimes.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Astronomy & Astrophysics
Alina E. Sagaydak, Zurab K. Silagadze
Summary: This paper demonstrates a simple and natural generalization of Robb-Geroch's definition of a relativistic interval into a Finsler extension of special relativity. The justification for such an extension can be traced back to previous works and has been systematically investigated by Bogoslovsky, adding weight to the argument that it should be carefully considered.
MODERN PHYSICS LETTERS A
(2022)
Article
Astronomy & Astrophysics
Che-Yu Chen, Hsu -Wen Chiang, Jie-Shiun Tsao
Summary: This study explores the appearance of eikonal correspondence in asymmetric spacetimes and finds explicit eikonal correspondence in deformed Schwarzschild spacetime.
Article
Astronomy & Astrophysics
Valentin Bonzom, Etera R. Livine
CLASSICAL AND QUANTUM GRAVITY
(2013)
Article
Astronomy & Astrophysics
Etera R. Livine, Mercedes Martin-Benito
CLASSICAL AND QUANTUM GRAVITY
(2013)
Article
Astronomy & Astrophysics
Etera R. Livine
CLASSICAL AND QUANTUM GRAVITY
(2014)
Article
Mathematics
Remi C. Avohou, Joseph Ben Geloun, Etera R. Livine
EUROPEAN JOURNAL OF COMBINATORICS
(2014)
Article
Physics, Mathematical
Maite Dupuis, Laurent Freidel, Etera R. Livine, Simone Speziale
JOURNAL OF MATHEMATICAL PHYSICS
(2012)
Article
Physics, Mathematical
Etera Livine, Johannes Tambornino
JOURNAL OF MATHEMATICAL PHYSICS
(2012)
Article
Physics, Mathematical
Valentin Bonzom, Etera R. Livine
JOURNAL OF MATHEMATICAL PHYSICS
(2012)
Article
Physics, Mathematical
Etera R. Livine
JOURNAL OF MATHEMATICAL PHYSICS
(2013)
Article
Physics, Mathematical
Joseph Ben Geloun, Etera R. Livine
JOURNAL OF MATHEMATICAL PHYSICS
(2013)
Article
Astronomy & Astrophysics
Maite Dupuis, Florian Girelli, Etera R. Livine
Article
Astronomy & Astrophysics
Etera R. Livine, Johannes Tambornino
Proceedings Paper
Astronomy & Astrophysics
Etera Livine, Johannes Tambornino
LOOPS 11: NON-PERTURBATIVE / BACKGROUND INDEPENDENT QUANTUM GRAVITY
(2012)
Proceedings Paper
Astronomy & Astrophysics
Maite Dupuis, Etera R. Livine
LOOPS 11: NON-PERTURBATIVE / BACKGROUND INDEPENDENT QUANTUM GRAVITY
(2012)
Proceedings Paper
Astronomy & Astrophysics
Enrique F. Borja, Jacobo Diaz-Polo, Laurent Freidel, Inaki Garay, Etera R. Livine
LOOPS 11: NON-PERTURBATIVE / BACKGROUND INDEPENDENT QUANTUM GRAVITY
(2012)
Proceedings Paper
Physics, Applied
Enrique F. Borja, Jacobo Diaz-Polo, Laurent Freidel, Inaki Garay, Etera R. Livine
TOWARDS NEW PARADIGMS: PROCEEDING OF THE SPANISH RELATIVITY MEETING 2011
(2012)
