Unit:
Κατεύθυνση Αστροφυσική, Αστρονομία και Μηχανική (ΒΑΣΙΚΗ ΦΥΣΙΚΗ)Library of the School of Science
Author:
Timogiannis Iason
Supervisors info:
Θεοχάρης Αποστολάτος, Αναπληρωτής Καθηγητής, Φυσικής,Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Νεκτάριος Βλαχάκης, Αναπληρωτής Καθηγητής, Φυσικής,Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Θεοδόσιος Χριστοδουλάκης, Καθηγητής,Φυσικής,Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Original Title:
Spinning Test Body in Curved Spacetime
Translated title:
Spinning Test Body in Curved Spacetime
Summary:
The motivation of this thesis is to study the impact of the presence of spin in compact object binaries in the extreme mass ratio regime. For this reason a mathematical technique has been developed over the years, named pole-dipole approximation of a spinning test body in a given background metric. To fully address this problem it is necessary to impose additional conditions, called spin supplementary conditions (SSCs), in order to close the system of Mathisson-Papapetrou-Dixon equations. This work is divided into three main sections. In the first one we reproduce some thoroughly examined results concerning the three most commonly used spin supplementary conditions in the literature, the Tulczyjew SSC, the Pirani SSC and the Ohashi-Kyrian-Semerak SSC. In the next section we present a method of computing the innermost stable circular orbit for the Mathisson-Papapetrou-Dixon equations under the Tulczyjew SSC and the Pirani SSC, in Schwarzschild spacetime. Finally, in the last chapter of the thesis a scrupulous comparison of the two aforementioned SSCs has been attempted, regarding the equivalence in linear and higher orders with respect to the spin of the test body.
Main subject category:
Science
Keywords:
General Relativity, Black Holes, Compact Objects Binary
