Student Work

Constructing Two Dimensional Theories of Gravity for Schwarzschild, Reissner-Nordstrom, and Non-Extremal Kerr Black Holes

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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.
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Identifier
  • E-project-043019-085532
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Year
  • 2019
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Date created
  • 2019-04-30
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Last modified
  • 2023-01-19

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Permanent link to this page: https://digital.wpi.edu/show/12579v79j