Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory

被引:2
作者
Alejandro Sanchez, Pablo [1 ,2 ]
Anabitarte, Mariano [1 ,2 ]
Bellini, Mauricio [1 ,2 ]
机构
[1] Univ Nacl Mar del Plata, Dept Fis, Fac Ciencias Exactas & Nat, RA-7600 Mar Del Plata, Argentina
[2] Consejo Nacl Invest Cient & Tecn CONICET, Inst Invest Fis Mar del Plata IFIMAR, Mar Del Plata, Buenos Aires, Argentina
关键词
NONCOMPACT KK THEORY; SPACE-TIME; GRAVITY; SUPERSYMMETRY; CONSTRAINTS; DIMENSIONS; INFLATION; MASSES; FIELD;
D O I
10.1016/j.physletb.2012.02.043
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Using the modern Kaluza-Klein theory of gravity (or the Induced Matter theory), we study the Dirac equation for massive neutrinos on a de Sitter background metric from a 5D Riemann-flat (and hence Ricci-flat) extended de Sitter metric, on which is defined the vacuum for test massless 1/2-spin neutral fields minimally coupled to gravity and free of any other interactions. We obtain that the effective 4D masses of the neutrinos can only take three possible values, which are related to the (static) foliation of the fifth and noncompact extra dimension. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:404 / 407
页数:4
相关论文
共 23 条
[1]   Noncompact KK theory of gravity: Stochastic treatment for a nonperturbative inflaton field in a de Sitter expansion [J].
Aguilar, JEM ;
Bellini, M .
PHYSICS LETTERS B, 2005, 619 (3-4) :208-218
[2]   Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum [J].
Alejandro Sanchez, Pablo ;
Anabitarte, Mariano ;
Bellini, Mauricio .
PHYSICS LETTERS B, 2011, 705 (05) :535-538
[3]   Space-time matter inflation [J].
Anabitarte, M ;
Bellini, M .
JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (04)
[4]   De Sitter inflationary expansion from a noncompact KK theory: a nonperturbative quantum (scalar) field formalism [J].
Bellini, M .
PHYSICS LETTERS B, 2005, 609 (3-4) :187-193
[5]  
Campbell J., 1926, A Course on Differential Geometry
[6]   On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces [J].
Camporesi, R ;
Higuchi, A .
JOURNAL OF GEOMETRY AND PHYSICS, 1996, 20 (01) :1-18
[7]   COSMOLOGICAL PROBLEMS FOR THE POLONYI POTENTIAL [J].
COUGHLAN, GD ;
FISCHLER, W ;
KOLB, EW ;
RABY, S ;
ROSS, GG .
PHYSICS LETTERS B, 1983, 131 (1-3) :59-64
[8]   YANG-MILLS THEORIES WITH LOCAL SUPERSYMMETRY - LAGRANGIAN, TRANSFORMATION LAWS AND SUPER-HIGGS EFFECT [J].
CREMMER, E ;
FERRARA, S ;
GIRARDELLO, L ;
VANPROEYEN, A .
NUCLEAR PHYSICS B, 1983, 212 (03) :413-442
[9]   Dynamically generated embeddings of spacetime [J].
Dahia, F ;
Romero, C .
CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (23) :5005-5013
[10]   The embedding of the space-time in five dimensions: An extension of the Campbell-Magaard theorem [J].
Dahia, F ;
Romero, C .
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (11) :5804-5814