http://popups.lib.uliege.be/1373-5411/index.php?id=3907 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=1255 A new General Lorentz Transformation model (GLT-model) derived by Novakovic ( 1999) for the particle motion in x-axis only, has been extended to the full form including y and z - axes. Starting with this transformation model, a general line element and a corresponding general metric tensor of GLT - model have been derived. The general line element and the metric tensor are functions of two free parameters α and α' , which are the functions of the space-time coordinates. The identification of two free parameters of GLT-model has been done for a weak and a strong gravitational field. The weak gravitational field solution of the two free parameters of GLT-model corresponds to the well-known Schwartzschild's metrics of the line element, for a spherically symmetric non-rotating body. It is very important to point out that the line element of GLT-model given in a non-diagonal form has got a very important property: non-singularity in a very strong gravitational field. Finally, a simple coordinate transformation procedure has been derived that transforms a general line element into diagonal one, with metric components (-1, 1, 1, 1), equal to the metrics in Special Relativity. Since the all items in SR and GR can be described as the functions of two free parameters of GLT-model, the possibilities of an unification of Einstein's Special and General Theories of Relativity, as well as a new unification of electromagnetic and gravitational fields are opened. Wed, 10 Jul 2024 09:47:56 +0200 Mon, 07 Oct 2024 15:44:23 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1255 http://popups.lib.uliege.be/1373-5411/index.php?id=3904 The notion of an alpha field has been associated to any potential field that can be presented by two dimensionless field parameters α and α'. The problem in this paper is to derive the generalized metrics in the Relativistic Alpha Field Theory (RAFT). In that sense, it is started with the new General Lorentz Transformation model in an alpha field (GLTα - model) derived by employing the well known group postulates and isotropy of the space. It follows the derivation of the general line element and the related general metric tensor in an alpha field both in the Minkowski and Riemannian metrics. The one section of the paper is devoted to derivation of a general diagonal form of a line element and metric tensor in an alpha field. It has been shown that there exists a simple coordinate transformation procedure in an alpha field that transforms the Riemannian metrics into the Minkowski one and vice versa. Tue, 01 Oct 2024 14:01:03 +0200 Tue, 01 Oct 2024 14:01:14 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3904