The purpose of this project was to provide a study on the construction of known 2D dilaton gravity theories for black holes while also constructing the previously unknown 2D dilaton gravity theory for the non-extremal Kerr black hole. This project was successful in reproducing known 2D dilaton actions and equations of motion for the Schwarzschild and Reissner-Nordstrom black holes and also successful in constructing a viable solution for a 2D dilaton gravity theory for the non-extremal Kerr black hole. By creating a generalized 2D Einstein Hilbert action with variational parameters and finding the non-extremal Kerr equations of motion from that action, the equations of motion were solved to find the components of the generalized 2D action for the non-extremal Kerr black hole.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Voydatch, Bryannah L.
• Mione, Nathaniel T.

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-043019-085532

Award

• Provost's MQP Award

Advisor

• Aravind, Padmanabhan K.

Year

• 2019

Sponsor

• Leo Rodriguez
• Shanshan Rodriguez

Date created

• 2019-04-30

Resource type

• Major Qualifying Project

Major

• Physics

Rights statement

• In Copyright

License

• All rights reserved

Last modified

• 2023-01-19