Citation: |
[1] |
H. A. Atwater, "Introduction to General Relativity," International Series of Monographs in Natural Philosophy, Vol. 63, Pergamon Press, Oxford-New York-Toronto, Ont., 1974. |
[2] |
G. Bertone, D. Hooper and J. Silk, Particle dark matter: Evidence, candidates and constraints, Physics Reports, 405 (2005), 279-390.doi: 10.1016/j.physrep.2004.08.031. |
[3] |
C. H. Brans and R. H. Dicke, Mach's principle and a relativistic theory of gravitation, Physical Review (2), 124 (1961), 925-935.doi: 10.1103/PhysRev.124.925. |
[4] |
H. A. Buchdahl, Non-linear Lagrangians and cosmological theory, Monthly Notices of the Royal Astronomical Society, 150 (1970), 1-8. |
[5] |
R. Caldwell, R. Dave and P. J. Steinhardt, Cosmological imprint of an energy component with general equation of state, Phys. Rev. Lett., 80 (1998), 1582-1585.doi: 10.1103/PhysRevLett.80.1582. |
[6] |
R. Caldwell and E. V. Linder, The limits of quintessence, Phys. Rev. Lett., 95 (2005), 141301.doi: 10.1103/PhysRevLett.95.141301. |
[7] |
S. Capozziello and M. De Laurentis, Extended theories of gravity, Phys. Rept., 509 (2011), 167-320.doi: 10.1016/j.physrep.2011.09.003. |
[8] |
Élie Cartan, Sur une généralisation de la notion de courbure de Riemann et les espaces à torsion, C. R. Acad. Sci. (Paris), 174 (1922), 593-595. |
[9] |
B. Chow, P. Lu and L. Ni, "Hamilton's Ricci Flow," Graduate Studies in Mathematics, Vol. 77, American Mathematical Society, Providence, RI, 2006. |
[10] |
D. Clowe, et al., A direct empirical proof of the existence of dark matter, Astrophys. J., 648 (2006), L109-L113.doi: 10.1086/508162. |
[11] |
T. Damour and G. Esposito-Farse, Tensor-multi-scalar theories of gravitation, Class. Quantum Grav., 9 (1992), 2093-2176.doi: 10.1088/0264-9381/9/9/015. |
[12] |
Joshua A. Frieman, Michael S. Turner and Dragan Huterer, Dark energy and the accelerating universe, Annu. Rev. Astro. Astrophys., 46 (2008), 385-432. |
[13] |
M. L. Kutner, "Astronomy: A Physical Perspective," Second edition, Cambridge University Press, 2003.doi: 10.1017/CBO9780511802195. |
[14] |
L. D. Landau and E. M. Lifshitz, "Course of Theoretical Physics, Vol. 2. The Classical Theory of Fields," Fourth edition, Pergamon Press, Oxford-New York-Toronto, Ont., 1975. |
[15] |
T. Ma, "Manifold Topology," (in Chinese) Science Press, Beijing, 2010. |
[16] |
_______, "Theory and Methods of Partial Differential Equations," (in Chinese) Science Press, Beijing, 2011. |
[17] |
T. Ma and S. Wang, "Bifurcation Theory and Applications," World Scientific Series on Nonlinear Science, Series A: Monographs and Treatises, Vol. 53, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005.doi: 10.1142/9789812701152. |
[18] |
_______, "Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics," Mathematical Surveys and Monographs, Vol. 119, American Mathematical Society, Providence, RI, 2005. |
[19] |
_______, "Phase Transition Dynamics," Springer-Verlag, October, 2013. |
[20] |
_______, Unified field equations coupling four forces and principle of interaction dynamics, arXiv:1210.0448, 2012. |
[21] |
_______, Unified field theory and principle of representation invariance, arXiv:1212.4893, 2012; part (the earliest version) of this preprint is to appear in Applied Mathematics and Optimization. |
[22] |
R. Massey, J. Rhodes, R. Ellis, N. Scoville, A. Leauthaud, et al., Dark matter maps reveal cosmic scaffolding, Nature, 445 (2007), 286-290. |
[23] |
P. Peebles and B. Ratra, The cosmological constant and dark energy, Rev. Mod. Phys., 75 (2003), 559-606.doi: 10.1103/RevModPhys.75.559. |
[24] |
S. Perlmutter, et al., Measurements of $\Omega$ and $\Lambda$ from 42 high-redshift supernovae, Astrophys. J., 517 (1999), 565-586. |
[25] |
Nikodem J. Popławski, Cosmology with torsion: An alternative to cosmic inflation, Phys. Lett. B, 694 (2010), 181-185.doi: 10.1016/j.physletb.2010.09.056. |
[26] |
B. Ratra and P. Peebles, Cosmological consequences of a rolling homogeneous scalar field, Phys. Rev. D, 37 (1988), 3406-3427.doi: 10.1103/PhysRevD.37.3406. |
[27] |
A. G. Riess, et al., Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J., 116 (1998), 1009-1038.doi: 10.1086/300499. |
[28] |
V. Rubin, W. K. Ford, Jr., Rotation of the Andromeda nebula from a spectroscopic survey of emission regions, Astrophysical Journal, 159 (1970), 379-404.doi: 10.1086/150317. |
[29] |
C. Wetterich, Cosmology and the fate of dilatation symmetry, Nucl. Phys. B, 302 (1988), 668-696.doi: 10.1016/0550-3213(88)90193-9. |
[30] |
C. M. Will, "Theory and Experiment in Gravitational Physics," Second edition, Cambridge University Press, Cambridge-New York, 1993. |
[31] |
I. Zlatev, L.-M. Wang and P. J. Steinhardt, Quintessence, cosmic coincidence, and the cosmological constant, Phys. Rev. Lett., 82 (1999), 896-899.doi: 10.1103/PhysRevLett.82.896. |
[32] |
F. Zwicky, On the masses of nebulae and of clusters of nebulae, Astrophysical Journal, 86 (1937), 217-246. |