| dc.contributor.author | Hossain, Md. Tarek Hossain | |
| dc.date.accessioned | 2025-07-27T05:34:31Z | |
| dc.date.available | 2025-07-27T05:34:31Z | |
| dc.date.issued | 2020-02 | |
| dc.identifier.uri | http://ir.library.sust.edu:8080/xmlui/handle/sust/234 | |
| dc.description | A Dissertation Submitted for the Degree of Doctor of Philosophy “Wigner Rotation in Flat Space, Hyperbolic Space
and the Outer Space of a Schwarzschild Black Hole” | en_US |
| dc.description.abstract | We have represented Lorentz transformation and its consequences, i.e. time dilation and length
contraction. The velocity addition formula has also explained. The formula of the transformation
of orbital angular momentum and spin angular momentum has been derived. The numerical
values of orbital angular momentum and spin angular momentum have been calculated. The
orbital angular momentum versus light velocities and spin angular momentum versus light
velocities have been plotted. We have introduced the Wigner rotation in two different ways. The
formula of Wigner rotation has been derived in flat space in two different ways. The numerical
values of Wigner rotation have been calculated for different cases. The graph of the Wigner
rotation with respect to different velocities has been plotted. Rapidity is a hyperbolic angle that
differentiates two frames of reference in relative motion. We have observed that the rapidity
space provides a geometric approach to the Wigner rotation and the Thomas precession. We
have also derived the formula of Wigner rotation in hyperbolic space. The numerical values of
Wigner rotation in hyperbolic space have also been calculated. A graph of Wigner rotation
versus boost angle for different boost velocities has been plotted. We have presented different
types of Black holes such as Miniature Black hole, Stellar Black hole, Intermediate-mass Black
hole, Supermassive Black hole, Schwarzschild Black hole, Kerr Black hole and Reissner-
Nordstrom Black hole. We have derived the line element in Schwarzschild Black hole and the
line elements of different Black holes have been represented. The formula of Wigner rotation in
the outer space of Schwarzschild Black hole has been derived. We have also calculated the
numerical values of Wigner rotation in the outer space of Schwarzschild Black hole. The graph
of the Wigner rotation with respect to different velocities of a moving object has been plotted. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Shahjalal University of Science and Technology(SUST) | en_US |
| dc.subject | lorentz transformation, time dilation, length contraction, velocity addition formula, orbital angular momentum, spin angular momentum, wigner rotation, hyperbolic space, black holes, schwarzschild black hole, boost angle, rapidity, thomas precession, numerical values, graph plotting. | en_US |
| dc.subject | Research Subject Categories::NATURAL SCIENCES::Physics | en_US |
| dc.title | Wigner Rotation in Flat Space, Hyperbolic Space and the Outer Space of a Schwarzschild Black Hole | en_US |
| dc.type | Thesis | en_US |
