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While many observations support the validity of Einstein's general relativity as the theory of gravity, there are yet many that suggest the presence of new physics. In order to explain the high-redshift supernovae Ia observations together with the recently made precise observations of the CMB anisotropy by WMAP, the standard cosmology has to invoke some hypothetical matter with unnatural properties which is very speculative. This casts doubts upon the foundations of the standard cosmology and suggests that some theoretical concept may still be missing from the theory. Such a concept might be the rotation of the astronomical objects, which has not been properly taken care of when we claim that a perfect fluid is a good approximation to the real contents of the universe. A crude estimation of the angular kinetic energy of massive galaxies indicates to a possibility to have $\Omega_{\rm total}\approx 1$ without invoking the hypothetical dark matter or dark energy. This picture also appears consistent with the recent observations of a great abundance of old massive galaxies made by Gemini Deep Deep Survey. However, a proper relativistic theory of the rotating objects is still to be investigated. It is expected that the consequences of incorporating rotation in general relativity, and hence in special relativity, would be profound.

While many observations support the validity of Einstein's general relativity as the theory of gravity, there are yet many that suggest the presence of new physics. In order to explain the high-redshift supernovae Ia observations together with the recently made precise observations of the CMB anisotropy by WMAP, the standard cosmology has to invoke some hypothetical matter with unnatural properties which is very speculative. This casts doubts upon the foundations of the standard cosmology and suggests that some theoretical concept may still be missing from the theory. Such a concept might be the rotation of the astronomical objects, which has not been properly taken care of when we claim that a perfect fluid is a good approximation to the real contents of the universe. A crude estimation of the angular kinetic energy of massive galaxies indicates to a possibility to have $\Omega_{\rm total}\approx 1$ without invoking the hypothetical dark matter or dark energy. This picture also appears consistent with the recent observations of a great abundance of old massive galaxies made by Gemini Deep Deep Survey. However, a proper relativistic theory of the rotating objects is still to be investigated. It is expected that the consequences of incorporating rotation in general relativity, and hence in special relativity, would be profound.

While many observations support the validity of Einstein's general relativity as the theory of gravity, there are yet many that suggest the presence of new physics. In order to explain the high-redshift supernovae Ia observations together with the recently made precise observations of the CMB anisotropy by WMAP, the standard cosmology has to invoke some hypothetical matter with unnatural properties which is very speculative. This casts doubts upon the foundations of the standard cosmology and suggests that some theoretical concept may still be missing from the theory. Such a concept might be the rotation of the astronomical objects, which has not been properly taken care of when we claim that a perfect fluid is a good approximation to the real contents of the universe. A crude estimation of the angular kinetic energy of massive galaxies indicates to a possibility to have $\Omega_{\rm total}\approx 1$ without invoking the hypothetical dark matter or dark energy. This picture also appears consistent with the recent observations of a great abundance of old massive galaxies made by Gemini Deep Deep Survey. However, a proper relativistic theory of the rotating objects is still to be investigated. It is expected that the consequences of incorporating rotation in general relativity, and hence in special relativity, would be profound.

Before the discovery of the expanding universe, one of the challenges faced in early relativistic cosmology was the determination of the finite and constant curvature radius of space-time by using astronomical observations. Great interest in this specific question was shown by de Sitter, Silberstein, and Lundmark. Their ideas and methods for measuring the cosmic curvature radius, at that time interpreted as equivalent to the size of the universe, contributed to the development of the empirical approach to relativistic cosmology. Their works are a noteworthy example of the efforts made by modern cosmologists towards the understanding of the universe as a whole, its properties, and its content.

198 s

198 s