Holographic Dark Energy Characterized by Conformal-age-like Length(CHDE) Z P. Huang, YLW, arXiv: 1202. 2590, Z P Huang, YLW, arXiv: 1202.3517 [astro-ph CO]
Holographic Dark Energy Characterized by Conformal-age-like Length (CHDE) Z.P. Huang, YLW, arXiv:1202.2590, Z.P. Huang, YLW, arXiv:1202.3517 [astro-ph.CO]
Holographic Dark Energy Characterized by Conformal-age-like Length(CHDE) Conformal-age-like length scale of universe dt dta(r) a4(r)≡ dna() +(t √0 al ar+(1) Motivated from 4D space-time volume of FRW Universe g a(t)· dra(t) 0 0 Fractional energy density of CHDe Friedman Equation pde d- e 3M2H2 H2L2 3M#H=Pm pde
Conformal-age-like length scale of universe Motivated from 4D space-time volume of FRW Universe Holographic Dark Energy Characterized by Conformal-age-like Length (CHDE) Fractional energy density of CHDE Friedman Equation
Equation of Motion of CHe Conservation of energy density Friedman equation p+3H(1+w)=0田9+Qn=1 Eos for Che Density with constant Wm 82V9 3 3d a IOm= C1a-3(1+Wm) CHDE 1+3m)(1 Ha aa rd V3MF o H'a vdHa Equation of motion for CHDE dede Q2 (1-92)3(1+wm)+8 a
Equation of Motion of CHDE Conservation of energy density Friedman equation EoS for CHDE Equation of motion for CHDE Density with constant CHDE
Solution of eom for cede At early time of universe a≤1 Assuming Dark energy is negligible de Equation of motion for CHDE in a good approximation d e 3(1+wm)+8、2√gde de Solution of eom for CHDe consIstency Qde a -(3+Wm)2d2a2 Qde <1 a<1
Solution of EoM for CHDE At early time of universe Assuming: Dark energy is negligible Equation of motion for CHDE in a good approximation Solution of EoM for CHDE consistency
nflationary Universe Conformal-age-like Length of CHDE Consistent check from L- I c 0 0 ha At early time of universe a< 1with Q≈1 Universe with constant 3(1+wm Conformal-age-like Length of CHDE 2 L a/ 3(3+Wm)Ha Haia 1)2=d( a)<1-L Odee(3+Wm)2d2a 3(3+Wm)ha 4 Wm=-1 m=1/3 L-3hal n de 9da2L-shalode e 25d-a2
Inflationary Universe & Conformal-age-like Length of CHDE At early time of universe with Universe with constant Conformal-age-like Length of CHDE = -1 = 1/3 Consistent check from L