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An Efficient Method for Fully Relativistic Simulations of Coalescing Binary Neutron Stars

Landry, Walter and Teukolsky, Saul A. (1999) An Efficient Method for Fully Relativistic Simulations of Coalescing Binary Neutron Stars. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20190828-133056303

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Abstract

The merger of two neutron stars has been proposed as a source of gamma-ray bursts, r-process elements, and detectable gravitational waves. Extracting information from observations of these phenomena requires fully relativistic simulations. Unfortunately, the only demonstrated method for stably evolving neutron stars requires solving elliptic equations at each time step, adding substantially to the computational resources required. In this paper we present a simpler, more efficient method. The key insight is in how we apply numerical diffusion. We perform a number of tests to validate the method and our implementation. We also carry out a very rough simulation of coalescence and extraction of the gravitational waves to show that the method is viable if realistic initial data are provided.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/gr-qc/9912004arXivDiscussion Paper
ORCID:
AuthorORCID
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:We wish to thank Mark Scheel, Greg Cook and Larry Kidder for many useful discussions. We would also like to thank Mark Miller for answering questions about his numerical relativity code, Scott Baden for his help with getting Kelp to work, Roger Lovelace for his help with hydrodynamics, and Thomas Baumgarte for his help with outer boundary conditions. This work was supported in part by NSF grants PHY 98-00737 and 99-00672, and NASA Grant NAG5-7264 to Cornell University.
Funders:
Funding AgencyGrant Number
NSFPHY 98-00737
NSFPHY 99-00672
NASANAG5-7264
Classification Code:PACS number(s): 97.80.-d, 04.25.Dm, 04.40.Dg, 97.60.Jd
Record Number:CaltechAUTHORS:20190828-133056303
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190828-133056303
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98318
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 Aug 2019 21:08
Last Modified:18 Nov 2020 18:45

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