Tomsk State Pedagogical University Bulletin
RU EN






Today: 06.06.2023
Home Issues 2014 Year Issue №12 FADDEEV GRAVITY ACTION ON THE PIECEWISE CONSTANT FUNDAMENTAL VECTOR FIELDS
  • Home
  • Current Issue
  • Bulletin Archive
    • 2023 Year
      • Issue №1
      • Issue №2
      • Issue №3
    • 2022 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2021 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2020 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2019 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
    • 2018 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
    • 2017 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2016 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2015 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2014 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2013 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2012 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2011 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2010 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2009 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2008 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
    • 2007 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
    • 2006 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2005 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 2004 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 2003 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
    • 2002 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
    • 2001 Year
      • Issue №1
      • Issue №2
      • Issue №3
    • 2000 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
    • 1999 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 1998 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 1997 Year
      • Issue №1
      • Issue №2
      • Issue №3
  • Rating
  • Search
  • News
  • Editorial Board
  • Information for Authors
  • Review Procedure
  • Information for Readers
  • Editor’s Publisher Ethics
  • Contacts
  • Manuscript submission
  • Received articles
  • Accepted articles
  • Subscribe
  • Service Entrance
vestnik.tspu.edu.ru
praxema.tspu.edu.ru
ling.tspu.edu.ru
npo.tspu.edu.ru
edujournal.tspu.edu.ru

TSPU Bulletin is a peer-reviewed open-access scientific journal.

E-LIBRARY (РИНЦ)
Ulrich's Periodicals Directory
Google Scholar
European reference index for the humanities and the social sciences (erih plus)
DOAJ (Directory of Open Access Journals)
Search by Author
- Not selected -
  • - Not selected -
Яндекс.Метрика

FADDEEV GRAVITY ACTION ON THE PIECEWISE CONSTANT FUNDAMENTAL VECTOR FIELDS

Khatsimovskiy V. M.

Information About Author:

In the Faddeev formulation of gravity, the metric is regarded as composite field, bilinear of d = 10 4-vector fields. We derive the minisuperspace (discrete) Faddeev action by evaluating the Faddeev action on the spacetime composed of the (flat) 4-simplices with constant 4-vector fields. This is an analog of the Regge action obtained by evaluating the Hilbert-Einstein action on the spacetime composed of the flat 4-simplices. One of the new features of this formulation is that the simplices are not required to coincide on their common faces. Also an analog of the Barbero-Immirzi parameter γ can be introduced in this formalism.

Keywords: Einstein gravity, Regge calculus, composite metric, Faddeev gravity, discrete gravity

References:

[1] Regge T. 1961 Nuovo Cimento 19 558.

[2] Regge T. and Williams R. M. 2000 Journ. Math. Phys. 41 3964 [arXiv:0012035 [gr-qc]].

[3] Hamber H. W. 2009 Gen. Rel. Grav. 41 817 [arXiv:0901.0964 [gr-qc]].

[4] Ambjorn J., Goerlich A., Jurkiewicz J., and Loll R. 2012 Phys. Rep. 519 127 [arXiv:1203.3591 [hep-th]].

[5] Faddeev L. D. 2011 Theor. Math. Phys. 166 279.

[6] Khatsymovsky V. M. 2013 Class. Quant. Grav. 30 095006 [arXiv:1201.0806 [gr-qc]].

[7] Barbero J. F. 1995 Phys. Rev. D 51 5507 [arXiv:9410014 [gr-qc]].

[8] Holst S. 1996 Phys. Rev. D 53 5966 [arXiv:9511026 [gr-qc]].

[9] Immirzi G. 1997 Nucl. Phys. Proc. Suppl. 57 65 [arXiv:9701052 [gr-qc]].

[10] Fatibene L., Francaviglia M., and Rovelli C. 2007 Class. Quantum Grav. 24 4207 [arXiv:0706.1899 [gr-qc]].

[11] Khatsymovsky V. M. 2014 Mod. Phys. Lett. A 29 1450141 [arXiv:1408.6375 [gr-qc]].

[12] Feinberg G., Friedberg R., Lee T. D., and Ren M. C. 1984 Nucl. Phys. B 245 343.

[13] Ashtekar A., Rovelli C. and Smolin L. 1992 Phys. Rev. Lett. 69 237 [arXiv:9203079 [hep-th]].

[14] Loll R. 1997 Class. Quant. Grav. 14 1725 [arXiv:9612068 [gr-qc]].

[15] Ashtekar A., Baez J., Corichi A., and Krasnov K. 1998 Phys. Rev. Lett. 80 904 [arXiv:9710007 [gr-qc]].

khatsimovskiy_v._m._131_134_12_153_2014.pdf ( 548.15 kB ) khatsimovskiy_v._m._131_134_12_153_2014.zip ( 436.96 kB )

Issue: 12, 2014

Series of issue: Issue 12

Pages: 131 — 134

Downloads: 604

For citation:


© 2023 Tomsk State Pedagogical University Bulletin

Development and support: Network Project Laboratory TSPU