The Physical Significance of Time Conformal Minkowski Spacetime

  • Farhad Ali Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan.
  • Muhammad Asif Jan Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan.
  • Wali Khan Mashwani Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan.
  • Rashida Adeeb Khanum Jinnah College for Women, University of Peshawar, Pakistan.
  • Hidayat Ullah Khan Department of Economics, Abbottabad University of Science and Technology, Pakistan.

Abstract

The Minkowsiki spacetime is flat and there is no source of gravitation. The time conformal factor is adding some cuvature to this spacetime which introduces some source of gravitation to the spacetime. For the Minkowski spacetime the Einstein Field equation tells nothing, because all the components of the Ricci curvature tensor are zero, but for the time conformal Minkowski spacetime some of them are non zero. Calculating the components of the Ricci tensor and using the Einstein field equations, expressions for the cosmological constant are cacultaed. These expressions give some information for the cosmological constant. Generally, the Noether symmetry generator corresponding to the energy content in the spacetime disapeares by introducing the time conformal factor, but our investigations in this paper reveals that it appears somewhere with some re-scale factor. The appearance of the time like isometry along with some re-scaling factor will rescale the energy content in the corresponding particular time conformal Minkowski spacetime. A time conformal factor of the form () is introduced in the Minkowski spacetime for the invistigation of the cosmological constant. The Noether symmetry equation is used for the Lagrangian of general time conformal Minkowski spacetime to find all those particular Minkowski spacetimes that admit the time conformal factor. Besides the Noether symmetries the cosmology constant is calculated in the corresponding spacetimes.

Published
Apr 1, 2020
How to Cite
ALI, Farhad et al. The Physical Significance of Time Conformal Minkowski Spacetime. Mehran University Research Journal of Engineering and Technology, [S.l.], v. 39, n. 2, p. 365-370, apr. 2020. ISSN 2413-7219. Available at: <https://publications.muet.edu.pk/index.php/muetrj/article/view/1595>. Date accessed: 01 june 2020. doi: http://dx.doi.org/10.22581/muet1982.2002.12.
Section
Articles
This is an open Access Article published by Mehran University of Engineering and Technolgy, Jamshoro under CCBY 4.0 International License