Post-Newtonian limit of generalized symmetric teleparallel gravity

被引：66

作者：

Flathmann, Kai ^{[1
]}

Hohmann, Manuel ^{[2
]}

机构：

[1] Carl von Ossietzky Univ Oldenburg, Inst Phys, D-26111 Oldenburg, Germany

[2] Univ Tartu, Inst Phys, Lab Theoret Phys, W Ostwaldi 1, EE-50411 Tartu, Estonia

来源：

PHYSICAL REVIEW D | 2021年 / 103卷 / 04期

关键词：

GAUGE-INVARIANCE; RELATIVITY;

D O I：

10.1103/PhysRevD.103.044030

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this article we analyze the post-Newtonian approximation of a generalization of the symmetric teleparallel gravity with the help of the parametrized post-Newtonian (PPN) formalism. This class of theories is based on a free function of the five independent quadratic contractions of the nonmetricity tensor. By calculating the PPN metric of these theories, we can restrict the Taylor coefficients of the free function with the help of the PPN parameters and their observational bounds. We find two families of theories whose PPN parameters are identical to those of general relativity, and thus in full agreement with observations. For three further families, we find that only the PPN parameters beta and gamma deviate, but can be brought arbitrarily close to their general relativity values by an appropriate choice of the Lagrangian, so that also these families contain candidate theories which agree with observations. The remaining theories either possess no well-defined solution of the post-Newtonian field equations, or possess a post-Newtonian limit which exceeds the form assumed in the PPN formalism.

引用

页数：12

共 90 条

[1] Lagrange formulation of the symmetric teleparallel gravity [J].

Adak, Muzaffer ;

Kalay, Mestan ;

Sert, Ozcan .

INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2006, 15 (05) :619-634

[2] Gauge approach to the symmetric teleparallel gravity [J].

Adak, Muzaffer .

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (12)

[3] SYMMETRIC TELEPARALLEL GRAVITY: SOME EXACT SOLUTIONS AND SPINOR COUPLINGS [J].

Adak, Muzaffer ;

Sert, Ozcan ;

Kalay, Mestan ;

Sari, Murat .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2013, 28 (32)

[4] Planck 2018 results: VI. Cosmological parameters [J].

Aghanim, N. ;

Akrami, Y. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Ballardini, M. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartolo, N. ;

Basak, S. ;

Battye, R. ;

Benabed, K. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bock, J. J. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Boulanger, F. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Carron, J. ;

Challinor, A. ;

Chiang, H. C. ;

Chluba, J. ;

Colombo, L. P. L. ;

Combet, C. ;

Contreras, D. ;

Crill, B. P. ;

Cuttaia, F. ;

de Bernardis, P. ;

de Zotti, G. ;

Delabrouille, J. ;

Delouis, J. -M. ;

Di Valentino, E. ;

Diego, J. M. ;

Dore, O. ;

Douspis, M. ;

Ducout, A. ;

Dupac, X. ;

Dusini, S. ;

Efstathiou, G. ;

Elsner, F. ;

Ensslin, T. A. ;

Eriksen, H. K. ;

Fantaye, Y. .

ASTRONOMY & ASTROPHYSICS, 2020, 641

[5] Planck 2018 results: V. CMB power spectra and likelihoods [J].

Aghanim, N. ;

Akrami, Y. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Ballardini, M. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartolo, N. ;

Basak, S. ;

Benabed, K. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bock, J. J. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Boulanger, F. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Carron, J. ;

Casaponsa, B. ;

Challinor, A. ;

Chiang, H. C. ;

Colombo, L. P. L. ;

Combet, C. ;

Crill, B. P. ;

Cuttaia, F. ;

de Bernardis, P. ;

de Rosa, A. ;

de Zotti, G. ;

Delabrouille, J. ;

Delouis, J. -M. ;

Di Valentino, E. ;

Diego, J. M. ;

Dore, O. ;

Douspis, M. ;

Ducout, A. ;

Dupac, X. ;

Dusini, S. ;

Efstathiou, G. ;

Elsner, F. ;

Ensslin, T. A. ;

Eriksen, H. K. ;

Fantaye, Y. ;

Fernandez-Cobos, R. .

ASTRONOMY & ASTROPHYSICS, 2020, 641

[6] The 16th Data Release of the Sloan Digital Sky Surveys: First Release from the APOGEE-2 Southern Survey and Full Release of eBOSS Spectra [J].

Ahumada, Romina ;

Allende Prieto, Carlos ;

Almeida, Andres ;

Anders, Friedrich ;

Anderson, Scott F. ;

Andrews, Brett H. ;

Anguiano, Borja ;

Arcodia, Riccardo ;

Armengaud, Eric ;

Aubert, Marie ;

Avila, Santiago ;

Avila-Reese, Vladimir ;

Badenes, Carles ;

Balland, Christophe ;

Barger, Kat ;

Barrera-Ballesteros, Jorge K. ;

Basu, Sarbani ;

Bautista, Julian ;

Beaton, Rachael L. ;

Beers, Timothy C. ;

Benavides, B. Izamar T. ;

Bender, Chad F. ;

Bernardi, Mariangela ;

Bershady, Matthew ;

Beutler, Florian ;

Bidin, Christian Moni ;

Bird, Jonathan ;

Bizyaev, Dmitry ;

Blanc, Guillermo A. ;

Blanton, Michael R. ;

Boquien, Mederic ;

Borissova, Jura ;

Bovy, Jo ;

Brandt, W. N. ;

Brinkmann, Jonathan ;

Brownstein, Joel R. ;

Bundy, Kevin ;

Bureau, Martin ;

Burgasser, Adam ;

Burtin, Etienne ;

Cano-Diaz, Mariana ;

Capasso, Raffaella ;

Cappellari, Michele ;

Carrera, Ricardo ;

Chabanier, Solene ;

Chaplin, William ;

Chapman, Michael ;

Cherinka, Brian ;

Chiappini, Cristina ;

Choi, Peter Doohyun .

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 2020, 249 (01)

[7] Planck 2018 results: X. Constraints on inflation [J].

Akrami, Y. ;

Arroja, F. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Ballardini, M. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartolo, N. ;

Basak, S. ;

Benabed, K. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bock, J. J. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Boulanger, F. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Carron, J. ;

Challinor, A. ;

Chiang, H. C. ;

Colombo, L. P. L. ;

Combet, C. ;

Contreras, D. ;

Crill, B. P. ;

Cuttaia, F. ;

de Bernardis, P. ;

de Zotti, G. ;

Delabrouille, J. ;

Delouis, J. -M. ;

Di Valentino, E. ;

Diego, J. M. ;

Donzelli, S. ;

Dore, O. ;

Douspis, M. ;

Ducout, A. ;

Dupac, X. ;

Dusini, S. ;

Efstathiou, G. ;

Elsner, F. ;

Ensslin, T. A. ;

Eriksen, H. K. ;

Fantaye, Y. ;

Fergusson, J. .

ASTRONOMY & ASTROPHYSICS, 2020, 641

[8] Planck 2018 results: IX. Constraints on primordial non-Gaussianity [J].

Akrami, Y. ;

Arroja, F. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Ballardini, M. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartolo, N. ;

Basak, S. ;

Benabed, K. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Casaponsa, B. ;

Challinor, A. ;

Chiang, H. C. ;

Colombo, L. P. L. ;

Combet, C. ;

Crill, B. P. ;

Cuttaia, F. ;

de Bernardis, P. ;

de Rosa, A. ;

de Zotti, G. ;

Delabrouille, J. ;

Delouis, J. -M. ;

Di Valentino, E. ;

Diego, J. M. ;

Dore, O. ;

Douspis, M. ;

Ducout, A. ;

Dupac, X. ;

Dusini, S. ;

Efstathiou, G. ;

Elsner, F. ;

Ensslin, T. A. ;

Eriksen, H. K. ;

Fantaye, Y. ;

Fergusson, J. ;

Fernandez-Cobos, R. ;

Finelli, F. ;

Frailis, M. .

ASTRONOMY & ASTROPHYSICS, 2020, 641

[9]

Aldrovandi R., 2013, TELEPARALLEL GRAVITY, V173

[10] Post-Newtonian limit of teleparallel Horndeski gravity [J].

Bahamonde, Sebastian ;

Dialektopoulos, Konstantinos F. ;

Hohmann, Manuel ;

Said, Jackson Levi .

CLASSICAL AND QUANTUM GRAVITY, 2021, 38 (02)

← 1 2 3 4 5 6 7 8 9 →