Preview

Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

Advanced search

Freund – Nambu cosmology with the massless scalar field

https://doi.org/10.29235/1561-2430-2024-60-1-43-51

Abstract

Within the framework of the generalization of Freund – Nambu scalar-tensor theory of gravity, a massless scalar field is considered, the source of which is the trace of its own energy-momentum tensor. For the cosmological problem, numerical solutions of field equations were obtained, with the help of which the dependencies of the Hubble parameter and the photometric distance to the observed sources on red-shift were constructed. To the consistency of the models with observational data, contours of confidence intervals for model parameters were constructed.

About the Authors

I. G. Dudko
B. I. Stepanov Institute of Physics of the National Academy of Science of Belarus
Belarus

Igor G. Dudko – Researcher

68-2, Nezavisimosti Ave., 220072, Minsk



Yu. P. Vyblyi
B. I. Stepanov Institute of Physics of the National Academy of Science of Belarus
Belarus

Yuri P. Vyblyi – Ph. D. (Physics and Mathematics), Leading Researcher

68-2, Nezavisimosti Ave., 220072, Minsk



References

1. Riess A. G., Filippenko A. V., Challis P., Clocchiatti A., Diercks A., Garnavich P. M. [et al.] (Supernova Search Team). Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant. The Astronomical Journal, 1998, vol. 116, pp. 1009–1038. https://doi.org/10.1086/300499

2. Perlmutter S., Aldering G., Goldhaber G., Knop R. A., Nugent P., Castro P. G. [et al.] (Supernova Cosmology Project). Measurements of Ω and Λ from 42 High-Redshift. Supernovae. The Astronomical Journal, 1998, vol. 517, pp. 565–586. https://doi.org/10.1086/307221

3. Eisenstein D. J., Zehavi I., Hogg D. W., Scoccimarro R., Blanton M. R., Nichol R. C., Scranton R. [et al.] (SDSS). Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies. The Astronomical Journal, 2005, vol. 633, pp. 560–574. https://doi.org/10.1086/466512

4. Sahni V., Starobinski A. The Case for a Positive Cosmological Lambda Term. International Journal of Modern Physics D, 2000, vol. 9, no. 4, pp. 373–444. https://doi.org/10.1142/S0218271800000542

5. Padmanabhan T. Cosmological constant – the weight of the vacuum. Physics Reports, 2003, vol. 380, no. 5–6, pp. 235– 320. https://doi.org/10.1016/S0370-1573(03)00120-0

6. Matos T., Guzman F. S. On the spacetime of a galaxy. Classical and Quantum Gravity, 2001, vol. 18, no. 23, pp. 5055– 5064. https://doi.org/10.1088/0264-9381/18/23/303

7. Peebles P. J. E., Ratra B. The cosmological constant and dark energy. Reviews of Modern Physics, 2003, vol. 75, pp. 559–606. https://doi.org/10.1103/revmodphys.75.559

8. Copeland E. J., Sami M., Tsujikawa S. Dynamics of dark energy. International Journal of Modern Physics D, 2006, vol. 15, no. 11, pp. 1753–1936. https://doi.org/10.1142/s021827180600942x

9. Belinchón J. A., Harko T., Mak M. K. Exact Scalar-Tensor Cosmological Solutions via Noether Symmetry. Astrophysics and Space Science, 2016, vol. 361, no. 2, p. 52. https://doi.org/10.1007/s10509-015-2642-7

10. Scherrer R. J., Sen A. A. Thawing quintessence with a nearly flat potential. Physical Review D, 2008, vol. 77, 083515. https://doi.org/10.1103/PhysRevD.77.083515

11. Starobinsky A. A. How to determine an effective potential for a variable cosmological term. Journal of Experimental and Theoretical Physics Letters, 1998, vol. 68, pp. 757–763. https://doi.org/10.1134/1.567941

12. Freund P., Nambu Y. Scalar Fields Coupled to the Trace of the Energy-Momentum Tensor. Physical Review, 1968, vol. 174, pp. 1741–1747. https://doi.org/10.1103/physrev.174.1741

13. Dudko I. G., Vyblyi Yu. P. Scalar field with the source in the form of the stress-energy tensor trace as a dark energy model. Gravitation and Cosmology, 2016, vol. 22, pp. 368–373. https://doi.org/10.1134/s020228931604006x

14. Sharov G. S., Vasilev V. O. How predictions of cosmological models depend on Hubble parameter data sets. Mathematical Modelling and Geometry, 2018, vol. 6, no, 1, pp. 1–20. https://doi.org/10.26456/mmg/2018-611

15. Scolnic D. M., Jones D. O., Rest A., Pan Y. C., Chornock R., Foley R. J., Huber M. E. [et al.] The Complete Lightcurve Sample of Spectroscopically Confirmed SNe la from Pan-STARRS1 and Cosmological Constraints from the Combined Pantheon Sample. The Astronomical Journal, 2018, vol. 859, no. 2, p. 101. https://doi.org/10.3847/1538-4357/aab9bb


Review

Views: 156


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)