I have developed a technique to solve for the khronon field in a space-time containing
a slowly moving black hole in the khrono-metric regime of HoĊava Gravity. To develop
these solutions I first revisited the khronon field around static spherically symmetric
black holes and perturbed them by a small velocity. The equations of motions of the
perturbed field were identified along with the linearly dependent series expansions
at the boundary points. Using the boundary conditions and equations of motion
the khronon field was numerically solved throughout the space-time. These solutions
were used to calculate a sensitivity parameter which defines how the black hole mass
appears to be modified due to its velocity. It was found that the sensitivity parameters
are highly suppressed and black holes should appear similar to their general relativity
counterpart. / Thesis / Master of Science (MSc) / I have investigated slowly moving black holes in a theory of modified gravity. The
goal was to see whether the theory breaks down in modelling these black holes and
if not, is it possible to test the theory using these predictions. I ultimately found
that this theory can model the slowly moving black holes and would appear almost
indistinguishable from classically moving black holes. This means that slowly moving
black holes on their own will not provide a sufficient test of the theory.
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/29140 |
| Date | January 2024 |
| Creators | Kovachik, Andrew |
| Contributors | Sergey, Sibiryakov, Physics and Astronomy |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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