f its creator, gives birth to further fruitful developments, following its own autonomous course." Thus, in spite of observational confirmations of Einstein predictions, one should examine whether theoretical self-consistency is satisfied. To this end, one may first examine the consistency among physical rinciples" which lead to general relativity.
The foundation of general relativity consists of a) the covariance principle, b) the equivalence principle, and c) the field equation whose source term is subjected to modification [3,7,8]. Einstein equivalence principle is the most crucial for general relativity [10-13]. In this paper, the consistency between the equivalence principle and the covariance principle will be examined theoretically, in particular through examples. Moreover, the consistency between the equivalence principle and Einstein field equation of 1915 is also discussed.
The principle of covariance [2] states that he general laws of nature are to be expressed by equations which hold good for all systems of coordinates, that is, are covariant with respect to any substitutions whatever (generally covariant)." The covariance principle can be considered as consisting of two features: 1) the mathematical formulation in terms of Riemannian geometry and 2) the general validity of any Gaussian coordinate system as a space-time coordinate system in physics. Feature 1) was eloquently established by Einstein, but feature 2) remains an unverified conjecture. In disagreement with Einstein [2], Eddington [11] pointed out that pace is not a lot of points close together; it is a lot of distances interlocked." Einstein accepted Eddington criticism and no longer advocated the invalid arguments in his book, he Meaning of Relativity" of 1921. Einstein also praised Eddington book of 1923 to be the finest presentation of the subject ever written
Moreover, in contrast to the belief of some theorists [14,15], it has never been established that the equivalence of all frames of reference requires the equivalence of all coordinate systems [9]. On the other hand, it has been pointed out that, because of the equivalence principle, the mathematical covariance must be restricted [8,9,16].
Moreover, Kretschmann [17] pointed out that the postulate of general covariance does not make any assertions about the physical content of the physical laws, but only about their mathematical formulation, and Einstein entirely concurred with his view. Pauli [10] poin
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