Energy Density Associated with the Bianchi Type-II Space-Time

Download

10.1143:PTP.115.63.pdf

Date

2006-1-1

Author

Aydoğdu, Oktay
Saltı, Mustafa

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

178
views

139
downloads

To calculate the total energy distribution (due to both matter and fields including gravitation) associated with locally rotationally symmetric (LRS) Bianchi type-II space-times. We use the Bergmann-Thomson energy-momentum complex in both general relativity and teleparallel gravity. We find that the energy density in these different gravitation theories is vanishing at all times. This result is the same as that obtained by one of the present authors who solved the problem of finding the energy-momentum in LRS Bianchi type-II by using the energy-momentum complexes of Einstein and Landau and Lifshitz. The results of this paper also are consistent with those given in the previous works of Cooperstock and Israelit, Rosen, Johri et al., Banerjee-Sen, Vargas, and Salti et al. In this paper, we perform the calculations for a non-diagonal expanding space-time to determine whether the Bergmann-Thomson energy momentum prescription is consistent with the other formulations. (We previously considered diagonal and expanding space-time models.) Our result supports the viewpoints of Albrow and Tryon.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/50920

Journal

Progress of Theoretical Physics

DOI

https://doi.org/10.1143/ptp.115.63

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Measurement of the differential cross sections for top quark pair production as a function of kinematic event variables in pp collisions at root s=7 and 8 TeV Khachatryan, V.; et. al. (American Physical Society (APS), 2016-09-01) Measurements are reported of the normalized differential cross sections for top quark pair production with respect to four kinematic event variables: the missing transverse energy; the scalar sum of the jet transverse momentum (p(T)); the scalar sum of the pT of all objects in the event; and the pT of leptonically decaying W bosons from top quark decays. The data sample, collected using the CMS detector at the LHC, consists of 5.0 fb(-1) of proton-proton collisions at root s = 7 TeV and 19.7 fb(-1) at root ...
Energy distribution of the universe in the Bianchi type II cosmological models Aydogdu, O (Wiley, 2006-04-01) Using the energy-momentum complexes of Tolman, Papapetrou and Weinberg, the total energy of the universe in Locally Rotationally Symmetric (LRS) Bianchi type II models is calculated. The total energy is found to be zero due to the matter plus field. This result supports the viewpoint of Tryon, Rosen and Albrow. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Magnetic field and curvature effects on pair production. II. Vectors and implications for chromodynamics Karabali, D.; Kürkcüoğlu, Seçkin; Nair, V. P. (American Physical Society (APS), 2019-09-17) We calculate the pair production rates for spin-1 or vector particles on spaces of the form M x R-1,R-1, with M corresponding to R-2 (flat), S-2 (positive curvature), and H-2 (negative curvature), with and without a background (chromo)magnetic field on M. Beyond highlighting the effects of curvature and background magnetic field, this is particularly interesting since vector particles are known to suffer from the Nielsen-Olesen instability, which can dramatically increase pair production rates. The form of ...
Angular analysis of the decay B+ -> K+mu(+)mu(-) in proton-proton collisions at root s=8 TeV Sirunyan, A. M.; et. al. (American Physical Society (APS), 2018-12-01) The angular distribution of the flavor-changing neutral current decay B+ -> K+mu(+)mu(-) is studied in proton-proton collisions at a center-of-mass energy of 8 TeV. The analysis is based on data collected with the CMS detector at the LHC, corresponding to an integrated luminosity of 20.5 fb(-1). The forward-backward asymmetry A(FB) of the dimuon system and the contribution F-H from the pseudoscalar, scalar, and tensor amplitudes to the decay width are measured as a function of the dimuon mass squared. The m...
Shortcuts to spherically symmetric solutions: a cautionary note Deser, S; Franklin, J; Tekin, Bayram (IOP Publishing, 2004-11-21) Spherically symmetric solutions of generic gravitational models are optimally, and legitimately, obtained by expressing the action in terms of the surviving metric components. This shortcut is not to be overdone; however, a one-function ansatz invalidates it, as illustrated by the incorrect solutions of Wohlfarth (2004 Class. Quantum Grav. 21 1927).

Citation Formats

O. Aydoğdu and M. Saltı, “Energy Density Associated with the Bianchi Type-II Space-Time,” Progress of Theoretical Physics, pp. 63–71, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/50920.