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A Spectral Approach to the Relativistic Inverse Stellar Structure Problem


Indik, Nathaniel Michael (2012) A Spectral Approach to the Relativistic Inverse Stellar Structure Problem. Senior thesis (Major), California Institute of Technology. doi:10.7907/829S-BX59.


We present a new method for solving the inverse stellar structure problem, which determines an expression for the high density range of the neutron star equation of state (EOS) based on observations of total masses, M, and radii, R of these stars. This approach determines spectral representations of the EOS that are very accurate and require only a few spectral parameters to converge. This method can determine the underlying high density EOS from just a few mass-radii observations {Mi, Ri}. While accurate mass-radii data are not available yet, we tested the accuracy of this method to determine the EOS from a set of {Mi, Ri} values computed from two tabulated theoretical EOS. When applied to the PAL6 [ 6] and MS 1 [7] tabulated EOS, this method converged to the original EOS to within a few percent using {Mi, Ri} data from only two stellar models.

Item Type:Thesis (Senior thesis (Major))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Withheld
Research Advisor(s):
  • Lindblom, Lee A.
Thesis Committee:
  • None, None
Defense Date:2012
Record Number:CaltechTHESIS:02132018-113201713
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10707
Deposited By: Joy Painter
Deposited On:14 Feb 2018 00:08
Last Modified:04 Oct 2019 00:19

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