Localization of the Galilean symmetry and dynamical realization of Newton-Cartan geometry

被引：66

作者：

Banerjee, Rabin ^{[1
]}

Mitra, Arpita ^{[1
]}

Mukherjee, Pradip ^{[2
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, India

[2] Barasat Govt Coll, Dept Phys, Barasat, W Bengal, India

来源：

CLASSICAL AND QUANTUM GRAVITY | 2015年 / 32卷 / 04期

关键词：

Galilean symmetry; localization of Galilean symmetry; Newton-Cartan geometry; INVARIANCE;

D O I：

10.1088/0264-9381/32/4/045010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Newtonian gravity was formulated as a geometrodynamic theory as far back as in 1930s by Elie Cartan, in what is named aptly as Newton-Cartan space time. Though there are several approaches of realizing the algebraic structure of the Newton-Cartan geometry from a contraction of the relativistic results, a dynamical (field theoretic) realization of it is lacking. In this paper we present such a realization from the localization of the Galilean symmetry of non-relativistic matter field theories.

引用

页数：9

共 24 条

[1] Newtonian gravity and the Bargmann algebra [J].

Andringa, Roel ;

Bergshoeff, Eric ;

Panda, Sudhakar ;

de Roo, Mees .

CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (10)

[2]

[Anonymous], 1965, Lectures on General Relativity

[3]

[Anonymous], LOGIC METHODOLOGY PH

[4] Lie algebraic noncommutative gravity [J].

Banerjee, Rabin ;

Mukherjee, Pradip ;

Samanta, Saurav .

PHYSICAL REVIEW D, 2007, 75 (12)

[5] A new formulation of non-relativistic diffeomorphism invariance [J].

Banerjee, Rabin ;

Mitra, Arpita ;

Mukherjee, Pradip .

PHYSICS LETTERS B, 2014, 737 :369-373

[6] Poincare gauge symmetries, Hamiltonian symmetries, and trivial gauge transformations [J].

Banerjee, Rabin ;

Roy, Debraj .

PHYSICAL REVIEW D, 2011, 84 (12)

[7] Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms [J].

Banerjee, Rabin ;

Gangopadhyay, Sunandan ;

Mukherjee, Pradip ;

Roy, Debraj .

JOURNAL OF HIGH ENERGY PHYSICS, 2010, (02)

[8] Nonrelativistic superparticle in a curved background [J].

Bergshoeff, Eric ;

Gomis, Joaquim ;

Kovacevic, Marija ;

Parra, Lorena ;

Rosseel, Jan ;

Zojer, Thomas .

PHYSICAL REVIEW D, 2014, 90 (06)

[9]

Blagojevic M., 2002, STUD HI ENER PHY COS

[10]

Blagojevic M., 2013, Gauge Theories of Gravitation: A Reader with Commentaries

← 1 2 3 →