Corrections to Kerr Black Holes in Modified Gravity
(2024) FYTM05 20232Particle and nuclear physics
Department of Physics
- Abstract
- This thesis studies the effects of Higher-Derivative Gravity, in an Effective Field Theory format, on the properties of a rotating black hole. In particular, it corrects the Einstein-Hilbert action with curvature invariants that contain six and eight derivatives. The resulting Equations Of Motion are first derived, and then solved with an ansatz that permits the study of black holes with an arbitrarily high spin χ. The last section of this work is divided into two parts. The first one focuses on the effects of the action corrections on the outer horizon. Here, the Rigidity Theorem is checked, and the angular velocity, surface gravity, area, and deformation are examined. The second part focuses on the effects of the corrections on the... (More)
- This thesis studies the effects of Higher-Derivative Gravity, in an Effective Field Theory format, on the properties of a rotating black hole. In particular, it corrects the Einstein-Hilbert action with curvature invariants that contain six and eight derivatives. The resulting Equations Of Motion are first derived, and then solved with an ansatz that permits the study of black holes with an arbitrarily high spin χ. The last section of this work is divided into two parts. The first one focuses on the effects of the action corrections on the outer horizon. Here, the Rigidity Theorem is checked, and the angular velocity, surface gravity, area, and deformation are examined. The second part focuses on the effects of the corrections on the ergosphere, where it is checked that the poles touch the horizon, and the deformation is examined. The main conclusion is that the eight-derivative results behave quite differently from their six-derivative counterparts, especially concerning the horizon and ergosphere deformations. (Less)
- Popular Abstract
- General Relativity is Albert Einstein’s theory of gravity, which he proposed in 1915. It improves upon Newton’s theory of gravity and has been successfully tested over the years. Even though it is a very successful theory, it is incomplete because it has a few flaws. For example, it predicts that the center of a black hole is infinitely dense, which is not possible! Because of this, ”relativists” have been working on improving General Relativity for many years. All results in modern physics theories come from a formula called the action. By modifying this formula, the theory and its predictions are also modified. Based on intricate mathematical and physical arguments, relativists have been modifying the action of General Relativity in many... (More)
- General Relativity is Albert Einstein’s theory of gravity, which he proposed in 1915. It improves upon Newton’s theory of gravity and has been successfully tested over the years. Even though it is a very successful theory, it is incomplete because it has a few flaws. For example, it predicts that the center of a black hole is infinitely dense, which is not possible! Because of this, ”relativists” have been working on improving General Relativity for many years. All results in modern physics theories come from a formula called the action. By modifying this formula, the theory and its predictions are also modified. Based on intricate mathematical and physical arguments, relativists have been modifying the action of General Relativity in many different ways. This thesis focuses on improving the theory of gravity by modifying the action in one of those ways. The resulting modified gravity is then applied to the case of a rotating black hole. The final results of this thesis mainly focus on some properties of the event horizon, that is, the boundary beyond which everything is drawn into the center of the black hole. Studies like this are more useful than one might think. These results can be compared with the data coming from gravitational wave observatories. Once the comparison is made, the General Relativity modifications can be discarded or accepted until a definite Theory of Gravity is found. These theories not only give us a better understanding of the Universe, but might also lead to exciting technological advances, such as interstellar travel close to the speed of light, or even travels to the future. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9161851
- author
- López Jurado, Carmen LU
- supervisor
- organization
- course
- FYTM05 20232
- year
- 2024
- type
- H2 - Master's Degree (Two Years)
- subject
- keywords
- General Relativity, Modified Gravity, Higher-Derivative gravity, Kerr black hole, Mathematica
- language
- English
- id
- 9161851
- date added to LUP
- 2024-06-17 13:49:26
- date last changed
- 2024-06-17 13:49:26
@misc{9161851,
abstract = {{This thesis studies the effects of Higher-Derivative Gravity, in an Effective Field Theory format, on the properties of a rotating black hole. In particular, it corrects the Einstein-Hilbert action with curvature invariants that contain six and eight derivatives. The resulting Equations Of Motion are first derived, and then solved with an ansatz that permits the study of black holes with an arbitrarily high spin χ. The last section of this work is divided into two parts. The first one focuses on the effects of the action corrections on the outer horizon. Here, the Rigidity Theorem is checked, and the angular velocity, surface gravity, area, and deformation are examined. The second part focuses on the effects of the corrections on the ergosphere, where it is checked that the poles touch the horizon, and the deformation is examined. The main conclusion is that the eight-derivative results behave quite differently from their six-derivative counterparts, especially concerning the horizon and ergosphere deformations.}},
author = {{López Jurado, Carmen}},
language = {{eng}},
note = {{Student Paper}},
title = {{Corrections to Kerr Black Holes in Modified Gravity}},
year = {{2024}},
}