Classical and Quantum GravityNo Access

ON THE EQUATIONS OF STATE FOR THE QUANTUM VACUUM TERMS

ANA M. PELINSON

Departamento de Física, CFM, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, SC, Brazil

Search for more papers by this author

and

ILYA L. SHAPIRO

Departamento de Fsica, ICE, Universidade Federal de Juiz de Fora, 36036-330, MG, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0217751X1105422XCited by:1 (Source: Crossref)

Abstract

The conformal anomaly provides a useful tool for deriving vacuum effective action. Such contributions to the gravitational action lead to the exponential inflation, similar to the cosmological constant term. In the presence of a background electromagnetic field, there is no exponential solution, including the case when the the anomaly-induced correction in the electromagnetic sector is taken into account. In this contribution we explore the role of the anomaly-induced terms in the form of "equation of state" in both gravitational and radiation sectors. Furthermore, we derive the scaling laws for these terms for the dS, radiation and matter-dominated cases.

Keywords:

PACS: 04.62.+v, 98.80.Cq, 95.36.+x

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

N. D. Birrell and P. C. W. Davies , Quantum Fields in Curved Space ( Cambridge Univ. Press , Cambridge , 1982 ) . Google Scholar
I. L. Buchbinder , S. D. Odintsov and I. L. Shapiro , Effective Action in Quantum Gravity ( IOP Publishing , Bristol , 1992 ) . Google Scholar
I. L. Shapiro, Class. Quant. Grav. 25, 103001 (2008); PoS-JHEP 03, 1 (2006) . Google Scholar
M. V. Fischetti, J. B. Hartle and B. L. Hu, Phys. Rev. D 20, 1757 (1979), DOI: 10.1103/PhysRevD.20.1757. Web of Science, ADS, Google Scholar
A. A. Starobinski, Phys. Lett. B 91, 99 (1980). Web of Science, ADS, Google Scholar
A. Vilenkin, Phys. Rev. D 32, 2511 (1985), DOI: 10.1103/PhysRevD.32.2511. Web of Science, ADS, Google Scholar
P. Anderson, Phys. Rev. D 28, 271 (1983); 29, 615 (1984); 29, 1567 (1986) . Google Scholar
I. L. Buchbinder, S. D. Odintsov and I. L. Shapiro, Phys. Lett. B 162, 92 (1985). Web of Science, ADS, Google Scholar
J. C. Fabris, A. M. Pelinson and I. L. Shapiro, Grav. Cosmol. 6, 59 (2000). ADS, Google Scholar
R. J. Riegert, Phys. Lett. B 134, 56 (1984). Web of Science, ADS, Google Scholar
E. S. Fradkin and A. A. Tseytlin, Phys. Lett. B 134, 187 (1984). Web of Science, ADS, Google Scholar
B. Gonçalves, G. de Berredo-Peixoto and I. L. Shapiro, Phys. Rev. D 80, 104013 (2009). Web of Science, Google Scholar
M. Giannotti and E. Mottola, Phys. Rev. D 79, 045014 (2009), DOI: 10.1103/PhysRevD.79.045014. Web of Science, Google Scholar
A. M. Pelinson, I. L. Shapiro and F. I. Takakura, Nucl. Phys. B 648, 417 (2003), DOI: 10.1016/S0550-3213(02)00999-9. Web of Science, ADS, Google Scholar
A. M. Pelinson and I. L. Shapiro, Phys. Lett. B 694, 467 (2011). Web of Science, ADS, Google Scholar
S. G. Mamaev and V. M. Mostepanenko, Sov. Phys. - JETP 51, 9 (1980). Web of Science, ADS, Google Scholar
M. Maggiore, Phys. Rev. D 83, 063514 (2011), DOI: 10.1103/PhysRevD.83.063514. Web of Science, Google Scholar
N. Bilic, Phys. Rev. D 83, 105003 (2011). Web of Science, Google Scholar
M. Maggiore, L. Hollenstein, M. Jaccard and E. Mitsou, Early dark energy from zero-point quantum fluctuations , arXiv:1104.3797v1 . Google Scholar
S. W. Hawking, T. Hertog and H. S. Real, Phys. Rev. D 63, 083504 (2001), DOI: 10.1103/PhysRevD.63.083504. Web of Science, Google Scholar
I. L. Shapiro, Int. J. Mod. Phys. D 11, 1159 (2002); I. L. Shapiro and J. Solà, Phys. Lett. B 530, 10 (2002) . Google Scholar
A. M. Pelinson, I. L. Shapiro and F. I. Takakura, Nucl. Phys. B (Proc. Suppl.) 127, 182 (2004). Web of Science, ADS, Google Scholar
E. V. Gorbar and I. L. Shapiro, JHEP 06, 004 (2003). ADS, Google Scholar
I. L. Shapiro and J. Solá, Phys. Lett. B 682, 105 (2009). Web of Science, ADS, Google Scholar
P. R. Anderson, C. Molina-Paris and E. Mottola, Phys. Rev. D 67, 024026 (2003), DOI: 10.1103/PhysRevD.67.024026. Web of Science, Google Scholar