- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Diffeomorphism-invariant action principles for trace-free Einstein gravity

Merced Montesinos*

Diego Gonzalez†

  • Departamento de Física, Cinvestav, Avenida Instituto Politécnico Nacional 2508, San Pedro Zacatenco, 07360 Gustavo A. Madero, Ciudad de México, Mexico

  • Departamento de Física, Cinvestav, Avenida Instituto Politécnico Nacional 2508, San Pedro Zacatenco, 07360 Gustavo A. Madero, Ciudad de México, México and Escuela Superior de Ingeniería Mecánica y Eléctrica, Instituto Politécnico Nacional, 07738 Ciudad de México, Mexico

  • *merced@fis.cinvestav.mx
  • †dgonzalezv@ipn.mx
PDF

Phys. Rev. D 108, 124013 – Published 4 December, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.124013

Abstract

Trace-free Einstein gravity is a theory of gravity that is an alternative to general relativity, wherein the cosmological constant arises as an integration constant. However, there are no fully diffeomorphism-invariant action principles available that lead to the equations of motion of this theory. Unimodular gravity comes close to this idea, but it relies on action principles that are invariant only under volume-preserving diffeomorphisms. We present a real BF-type action principle for trace-free Einstein gravity that is fully diffeomorphism-invariant and does not require any unimodular condition or nondynamical fields. We generalize this action principle by giving another one involving a free parameter.

View figure in article

Physics Subject Headings (PhySH)

See Also

Trace-free Einstein gravity as a constrained bigravity theory

Merced Montesinos and Diego Gonzalez
Phys. Rev. D 110, 064057 (2024)

Article Text

References (24)

  1. A. Einstein, Sitzungsberichte der Preussischen Akad. d. Wissen-schaften 349 (1919).
  2. A. Einstein, H. A. Lorentz, H. Weyl, and H. Minkowski, The Principle of Relativity. Notes by A. Sommerfeld (Dover Publications, Mineola, NY, 1952), pp. 189–198.
  3. A. Einstein, Math. Ann. 97, 99 (1927).
  4. G. F. R. Ellis, H. van Elst, J. Murugan, and J.-P. Uzan, Classical Quantum Gravity 28, 225007 (2011).
  5. G. F. R. Ellis, Gen. Relativ. Gravit. 46, 1619 (2014).
  6. G. F. R. Ellis, J. Phys. Conf. Ser. 1275, 012001 (2019).
  7. J. L. Anderson and D. Finkelstein, Am. J. Phys. 39, 901 (1971).
  8. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989).
  9. M. Henneaux and C. Teitelboim, Phys. Lett. B 222, 195 (1989).
  10. Y. J. Ng and H. van Dam, J. Math. Phys. (N.Y.) 32, 1337 (1991).
  11. R. Carballo-Rubio, L. J. Garay, and G. García-Moreno, Classical Quantum Gravity 39, 243001 (2022).
  12. C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, England, 2004).
  13. T. Thiemann, Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, England, 2007).
  14. A. Perez, Living Rev. Relativity 16, 1205 (2013).
  15. J. F. Plebański, J. Math. Phys. (N.Y.) 18, 2511 (1977).
  16. M. Celada, D. González, and M. Montesinos, Classical Quantum Gravity 33, 213001 (2016).
  17. L. Smolin, Phys. Rev. D 80, 084003 (2009).
  18. L. Smolin, Phys. Rev. D 84, 044047 (2011).
  19. T. Josset, A. Perez, and D. Sudarsky, Phys. Rev. Lett. 118, 021102 (2017).
  20. E. Álvarez and S. González-Martín, Phys. Rev. D 92, 024036 (2015).
  21. R. D. Pietri and L. Freidel, Classical Quantum Gravity 16, 2187 (1999).
  22. R. Capovilla, M. Montesinos, V. A. Prieto, and E. Rojas, Classical Quantum Gravity 18, L49 (2001).
  23. S. Holst, Phys. Rev. D 53, 5966 (1996).
  24. M. Montesinos, R. Romero, and D. Gonzalez, Classical Quantum Gravity 37, 045008 (2020).

Outline

Information

Phys. Rev. D 108, 124013– Published 4 December, 2023
  • Received 24 October 2023
  • Accepted 14 November 2023
Crossmark - Check for updates button

© 2023 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation