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2000
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2003
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2007

A Note on Agegraphic Dark Energy

Neupane, Ishwaree P.

Understand

Recently a new model of dynamical dark energy, or time-varying $\Lambda$, was proposed by Cai [arXiv:0707.4049] by relating the energy density of quantum fluctuations in a Minkowski space-time, namely $\rho_q \equiv 3 n^2 m_P^2/t^2$, where $n\sim {\cal O}(1)$ and t is the cosmic time, to the present day dark energy density.

In this note, we show that the model can be adjusted to the present values of dark energy density parameter $\Omega_q$ ($\simeq 0.73$) and the equation of state ${\rm w}\Z{q}$ ($\simeq -1$) only if the numerical coefficient $n$ takes a reasonably large value ($n\gtrsim 3$) or the present value of the gravitational coupling of q-field to (dark) matter is also nonzero, namely, $\tilde{Q}\simeq \frac{2}{n}(\Omega\Z{q0})^{3/2}>0$ where $\Omega\Z{q0}$ is the present value of dark energy density fraction.
We also discuss some of the difficulties of this proposal as a viable dark energy model with a constant $n$; especially, the bound imposed on the dark energy density parameter $\Omega_q <0.1$ during big bang nucleosynthesis (BBN) requires $n< 1/6$.
To overcome this drawback, we outline a few modifications where such constraints can be weakened or relaxed.

Built on

F. Károlyházy, Nuovo Cim. A
1966
Earlier work this paper cites.
See, e.g., M. Green, J. Schwartz and E. Witten, Superstring theory
1987
Earlier work this paper cites.
T. Damour and K. Nordtvedt, Phys. Rev. D 48
1994
Earlier work this paper cites.
P. J. E. Peebles and B. Ratra, Astrophys. J. 325
1995
Earlier work this paper cites.
N. Sasakura, Prog. Theor. Phys. 102
1999
Earlier work this paper cites.
J. L. Lopez and D. V. Nanopoulos, Mod. Phys. Lett. A 11
1999
Earlier work this paper cites.
I. Zlatev, L. M. Wang and P. J. Steinhardt, Phys. Rev. Lett. 82
2000
Earlier work this paper cites.
A. Melchiorri, L. Mersini-Houghton, C. J. Odman and M. Trodden, Phys. Rev. D 68
2003
Earlier work this paper cites.

Similar

A. G. Riess et al
2004
Cited alongside, same era.
S. D. Hsu, Phys. Lett. B 594
2004
Cited alongside, same era.
R. R. Caldwell and E. V. Linder, Phys. Rev. Lett. 95
2005
Cited alongside, same era.
S. Weinberg, Rev. Mod. Phys. 61
2006
Cited alongside, same era.
Y.J. Ng and H. Van Dam, Mod. Phys. Lett. A
2006
Cited alongside, same era.
D. N. Spergel et al
2007
Cited alongside, same era.
R. G. Cai, Phys. Lett. B 657
Original
2007
Cited alongside, same era.