Abstract
Soon after Einstein published his general theory of relativity, in order to derive a static solution out of his equations, he modified the equations by adding Λ, the cosmological constant term [1]. This extra term could be used to explain the observations of that time that were indicating a non-evolving universe. Although Einstein may not have been aware of this fact originally, this cosmological constant can be interpreted as the vacuum energy density [2], which generates a repulsive force that can balance the attractive gravitational forces due to matter and hence grant a static, although extremely unstable, universe. The cosmological term seemed unnecessary when Hubble observed the cosmic expansion of the universe [3], and Friedmann [4] and Lemaitre [5] developed a model that could well explain the new data. Therefore, Einstein and de Sitter [6] accepted a spatially flat, matter dominated, homogeneous, isotropic, and expanding universe as the cosmological model where the matter density (ρ m ) is equal to the critical density (ρ c ), \(\Omega _m \equiv \frac {\rho _m}{\rho _c} = 1\), and there is no room for other types of energy. In the 1990s, two independent groups of cosmologists [7, 8] reported direct evidence of cosmic expansion with a positive rate from studies of supernova explosions, although other studies of the age of the universe together with cosmic microwave background (CMB) observations [9] were already indicating the shortcomings of the Einstein–de Sitter model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Natural units are in place in this dissertation.
References
A. Einstein, Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys. ) 1915, 844 (1915)
Y.B. Zeldovich, Sov. Phys. Uspekhi 11, 381 (1968)
E. Hubble, Proc. Natl. Acad. Sci. 15, 168 (1929)
A. Friedmann, On the curvature of space. Z. Phys. 10, 377 (1922)
G. Lemaitre, Annales de la Societe Scietifique de Bruxelles 47, 49 (1927)
A. Einstein, W. de Sitter, Proc. Natl. Acad. Sci. 18, 213 (1932)
A.G. Riess et al., [Supernova Search Team Collaboration], Astron. J. 116, 1009 (1998)
S. Perlmutter et al., [Supernova Cosmology Project Collaboration], Astrophys. J. 517, 565 (1999)
C.L. Bennett, A.J. Banday, K.M. Górski, G. Hinshaw, P. Jackson, P. Keegstra, A. Kogut, G.F. Smoot, D.T. Wilkinson, E.L. Wright, Astrophys. J. Lett. 464, L1 (1996)
http://map.gsfc.nasa.gov/site/citations.html. Accessed 12 Oct 2010
Planck Collaboration, Planck 2015 results. XIII. Cosmological parameters (2015) [arXiv:1502.01589]
N. Suzuki et al., [The Supernova Cosmology Project], Astrophys. J. 746, 85 (2012) [arXiv:1105.3470]
H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)
M.J. Sparnaay, Nature 180, 334 (1957)
C. Wetterich, Nucl. Phys. B 302, 668 (1988)
B. Ratra, P. Peebles, Phys. Rev. D 37, 3406 (1988)
R. Caldwell, R. Dave, P.J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998) [arXiv:astro-ph/9708069]
I. Zlatev, L.M. Wang, P.J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999) [arXiv:astro-ph/9807002]
S. Weinberg, Rev. Mod. Phys. 61, 1 (1989) [arXiv:astro-ph/0005265]
R. Caldwell, E.V. Linder, Phys. Rev. Lett. 95, 141301 (2005) [arXiv:astro-ph/0505494]
C. Armendariz-Picon, T. Damour, V.F. Mukhanov, Phys. Lett. B 458, 209 (1999) [arXiv:hep-th/9904075]
C. Armendariz-Picon, V.F. Mukhanov, P.J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000) [arXiv:astro-ph/0004134]
C. Armendariz-Picon, V.F. Mukhanov, P.J. Steinhardt, Phys. Rev. D 63, 103510 (2001) [arXiv:astro-ph/0006373]
E. Babichev, V.F. Mukhanov, A. Vikman, JHEP 02, 101 (2008)
C. Wetterich, Astron. Astrophys. 301, 321 (1995) [arXiv:hep-th/9408025]
L. Amendola, Phys. Rev. D 62, 043511 (2000) [arXiv:astro-ph/9908023]
S. Das, P.S. Corasaniti, J. Khoury, Phys. Rev. D 73, 083509 (2006) [arXiv:astro-ph/0510628]
S. Capozziello, S. Carloni, A. Troisi, Recent Res. Dev. Astron. Astrophys. 1, 625 (2003) [arXiv:astro-ph/0303041]
V. Mukhanov, Physical Foundations of Cosmology (Cambridge University Press, Cambridge, 2005)
I.L. Buchbinder, S.D. Odintsov, I.L. Shapiro, Effective Actions in Quantum Gravity (IOP, Bristol, 1992)
A. Codello, R. Percacci, Phys. Rev. Lett. 97, 221301 (2006)
T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010) [arXiv:0805.1726]
G. Dvali, G. Gabadadze, M. Porrati, Phys. Lett. B 485, 208 (2000) [arXiv:hep-th/0005016]
S. Dubovsky, V. Rubakov, Phys. Rev. D 67, 104014 (2003) [arXiv:hep-th/0212222]
C. de Rham, G. Dvali, S. Hofmann, J. Khoury, O. Pujolas et al., Phys. Rev. Lett. 100, 251603 (2008) [arXiv:0711.2072]
A. Nicolis, R. Rattazzi, E. Trincherini, Phys. Rev. D 79, 064036 (2009) [arXiv:0811.2197]
J.Q. Xia, Phys. Rev. D 79, 103527 (2009) [arXiv:0907.4860]
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Borzou, A. (2018). Dark Energy. In: Theoretical and Experimental Approaches to Dark Energy and the Cosmological Constant Problem. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-69632-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-69632-4_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69631-7
Online ISBN: 978-3-319-69632-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)