Herry Fridolin Lalus, Anthonius Suban Hali, Marsi Devid Setyawan Bani, Nila Prasetya Aryani
The Godel metric is one of the solutions to the Einstein field equation which has a unique characteristic because it allows a closed time like curve, and is considered to violate the causal structure principle. However, studies of this metric in various domains, such as in General Relativity Theory, differential geometry, topology, and other domains have been done quite a lot from various aspects, but in general it is still in the standard metric form, or with modifications or generalizations in a different way/form. This paper examines the modification of the standard Godel metric as proposed by Kund Godel [1] in 1949. This study uses Cartan's structure equation method, which of course involves a non-coordinate basis. What is analyzed in this paper is to calculate some basic aspects of Einstein field equations such as the Riemann tensor, Ricci tensor, Ricci Scalar, Einstein tensor, the form of the cosmological constant, and there are additional aspects, namely the Kretschmann scalar. © 2023 Author(s).
Physics Department, Faculty of Teacher Training and Education, Universitas Nusa Cendana Kupang, Kupang, Indonesia; Physics Department, Universitas Negeri Semarang, Semarang, Indonesia
