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Spectral approach to the relativistic inverse stellar structure problem

Lindblom, Lee and Indik, Nathaniel M. (2012) Spectral approach to the relativistic inverse stellar structure problem. Physical Review D, 86 (8). Art. No. 084003. ISSN 0556-2821.

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A new method for solving the relativistic inverse stellar structure problem is presented. This method determines a spectral representation of the unknown high-density portion of the stellar equation of state from a knowledge of the total masses M and radii R of the stars. Spectral representations of the equation of state are very efficient, generally requiring only a few spectral parameters to achieve good accuracy. This new method is able, therefore, to determine the high-density equation of state quite accurately from only a few accurately measured [M,R] data points. This method is tested here by determining the equations of state from mock [M,R] data computed from tabulated realistic neutron-star equations of state. The spectral equations of state obtained from these mock data are shown to agree, on average, with the originals to within a few percent (over the entire high-density range of the neutron-star interior) using only two [M,R] data points. Higher accuracies are achieved when more data are used. The accuracies of the equations of state determined in these examples are shown to be nearly optimal, in the sense that their errors are comparable to the errors of the best-fit spectral representations of these realistic equations of state.

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Additional Information:© 2012 American Physical Society. Received 16 July 2012; published 1 October 2012. We thank John Friedman, Benjamin Lackey, and Benjamin Owen for helpful discussions about this work and J. F. and B. L. for providing tables of the various realistic equations of state. A portion of this research was carried out during the time L. L. was a visitor at the Leonard E. Parker Center for Gravitation, Cosmology and Astrophysics, University of Wisconsin at Milwaukee. This research was supported in part by a grant from the Sherman Fairchild Foundation, by NSF Grants No. PHY1005655 and No. DMS1065438, and by NASA Grant No. NNX09AF97G.
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Sherman Fairchild FoundationUNSPECIFIED
Classification Code:PACS: 04.40.Dg, 97.60.Jd, 26.60.Kp, 26.60.Dd
Record Number:CaltechAUTHORS:20121101-144552378
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35249
Deposited By: Tony Diaz
Deposited On:01 Nov 2012 23:00
Last Modified:27 Dec 2012 02:57

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