Scalar-torsion theories of gravity. I. General formalism and conformal transformations

被引：56

作者：

Hohmann, Manuel ^{[1
]}

机构：

[1] Univ Tartu, Inst Phys, Lab Theoret Phys, Wilhelm Ostwaldi I, EE-50411 Tartu, Estonia

来源：

PHYSICAL REVIEW D | 2018年 / 98卷 / 06期

关键词：

GAUGE-THEORY; TELEPARALLEL GRAVITY;

D O I：

10.1103/PhysRevD.98.064002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss the most general class of teleparallel scalar-torsion theories of gravity in their covariant formulation. The only restrictions we impose are the invariance of the action under diffeommphisms and local Lorentz transformations, as well as vanishing direct coupling of the matter fields to the teleparallel spin connection. In this general setting we discuss the implications of local Lorentz invariance and diffeommphism invariance and derive the general structure of the field equations. Further, we show how different theories of this class are related to each other by conformal transformations of the tetrad and redefinitions of the scalar field. We finally show how the formalism can be generalized to an arbitrary number of scalar fields, and provide a few examples.

引用

页数：10

共 33 条

[1] Planck 2015 results XIV. Dark energy and modified gravity [J].

Ade, P. A. R. ;

Aghanim, N. ;

Arnaud, M. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartolo, N. ;

Battaner, E. ;

Battye, R. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bock, J. J. ;

Bonaldi, A. ;

Bonavera, L. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chiang, H. C. ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Combet, C. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. ;

Davis, R. J. ;

de Bernardis, P. ;

de Rosa, A. ;

de Zotti, G. ;

Delabrouille, J. .

ASTRONOMY & ASTROPHYSICS, 2016, 594

[2] Planck 2015 results XX. Constraints on inflation [J].

Ade, P. A. R. ;

Aghanim, N. ;

Arnaud, M. ;

Arroja, F. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Ballardini, M. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartolo, N. ;

Battaner, E. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bock, J. J. ;

Bonaldi, A. ;

Bonavera, L. ;

Bondi, J. R. ;

Borrillu, J. ;

Bouchet, F. R. ;

Boulanger, F. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chary, R. -R. ;

Chiang, H. C. ;

Christensen, P. R. ;

Churchl, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Combet, C. ;

Contreras, D. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. ;

Davis, R. J. .

ASTRONOMY & ASTROPHYSICS, 2016, 594

[3] Planck 2015 results XIII. Cosmological parameters [J].

Ade, P. A. R. ;

Aghanim, N. ;

Arnaud, M. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartlett, J. G. ;

Bartolo, N. ;

Battaner, E. ;

Battye, R. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bock, J. J. ;

Bonaldi, A. ;

Bonavera, L. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Boulanger, F. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chary, R. -R. ;

Chiang, H. C. ;

Chluba, J. ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Combet, C. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. ;

Davis, R. J. ;

de Bernardis, P. .

ASTRONOMY & ASTROPHYSICS, 2016, 594

[4]

[Anonymous], ARXIV170501072

[5]

[Anonymous], 2013, TELEPARALLEL GRAVITY

[6] Teleparallel Gravity as a Higher Gauge Theory [J].

Baez, John C. ;

Wise, Derek K. .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 333 (01) :153-186

[7] Some aspects of reconstruction using a scalar field in f (T) gravity [J].

Chakrabarti, Soumya ;

Said, Jackson Levi ;

Farrugia, Gabriel .

EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (12)

[8] Remnant symmetry, propagation, and evolution in f(T) gravity [J].

Chen, Pisin ;

Izumi, Keisuke ;

Nester, James M. ;

Ong, Yen Chin .

PHYSICAL REVIEW D, 2015, 91 (06)

[9] Post-Newtonian approximation of teleparallel gravity coupled with a scalar field [J].

Chen, Zu-Cheng ;

Wu, You ;

Wei, Hao .

NUCLEAR PHYSICS B, 2015, 894 :422-438

[10] EINSTEIN LAGRANGIAN AS TRANSLATIONAL YANG-MILLS LAGRANGIAN [J].

CHO, YM .

PHYSICAL REVIEW D, 1976, 14 (10) :2521-2525

← 1 2 3 4 →