Noncommutative fluid dynamics in the Snyder space-time

被引：12

作者：

Abdalla, M. C. B. ^{[1
]}

Holender, L. ^{[2
]}

Santos, M. A. ^{[3
]}

Vancea, I. V. ^{[2
]}

机构：

[1] UNESP Univ Estadual Paulista, Inst Fis Teor, BR-01156970 Sao Paulo, Brazil

[2] Univ Fed Rio de Janeiro UFRRJ, Dept Fis, Grp Fis Teor & Matemat Fis, BR-23890000 Rio De Janeiro, Brazil

[3] Univ Fed Espirito Santo UFES, Dept Fis & Quim, BR-29060900 Vitoria, ES, Brazil

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 04期

关键词：

ENERGY-MOMENTUM TENSOR; RENORMALIZATION; THEOREM; FIELDS;

D O I：

10.1103/PhysRevD.86.045019

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we construct for the first time the noncommutative fluid with the deformed Poincare invariance. To this end, the realization formalism of the noncommutative spaces is employed and the results are particularized to the Snyder space. The noncommutative fluid generalizes the fluid model in the action functional formulation to the noncommutative space. The fluid equations of motion and the conserved energy-momentum tensor are obtained.

引用

页数：7

共 50 条

[1] Snyder noncommutative space-time from two-time physics
Romero, JM
Zamora, A
[J]. PHYSICAL REVIEW D, 2004, 70 (10) : 105006 - 1
[2] Noncommutative space-time and relativistic dynamics
Mir-Kasimov, R. M.
[J]. PHYSICS OF PARTICLES AND NUCLEI, 2017, 48 (02) : 309 - 318
[3] Noncommutative space-time and relativistic dynamics
R. M. Mir-Kasimov
[J]. Physics of Particles and Nuclei, 2017, 48 : 309 - 318
[4] Modification of Heisenberg uncertainty relations in noncommutative Snyder space-time geometry
Battisti, Marco Valerio
Meljanac, Stjepan
[J]. PHYSICAL REVIEW D, 2009, 79 (06):
[5] Noncommutative space-time models
Gromov, NA
Kuratov, VV
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2005, 55 (11) : 1421 - 1426
[6] The Geometry of Noncommutative Space-Time
Mendes, R. Vilela
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2017, 56 (01) : 259 - 269
[7] Events in a noncommutative space-time
Toller, M
[J]. PHYSICAL REVIEW D, 2004, 70 (02)
[8] The Geometry of Noncommutative Space-Time
R. Vilela Mendes
[J]. International Journal of Theoretical Physics, 2017, 56 : 259 - 269
[9] THE QUASIPOSITION REPRESENTATION IN THE SNYDER SPACE-TIME
Budnyy, B.
[J]. JOURNAL OF PHYSICAL STUDIES, 2009, 13 (03):
[10] Noncommutative geometry and structure of space-time
Chamseddine, Ali H.
[J]. AFRIKA MATEMATIKA, 2020, 31 (01) : 15 - 27

← 1 2 3 4 5 →