Cosmology using advanced gravitational-wave detectors alone
We investigate a novel approach to measuring the Hubble constant using gravitational-wave (GW) signals from compact binaries by exploiting the narrowness of the distribution of masses of the underlying neutron-star population. Gravitational-wave observations with a network of detectors will permit a...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/70587 |
| _version_ | 1826203527986282496 |
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| author | Mandel, Ilya Taylor, Stephen R. Gair, Jonathan R. |
| author2 | MIT Kavli Institute for Astrophysics and Space Research |
| author_facet | MIT Kavli Institute for Astrophysics and Space Research Mandel, Ilya Taylor, Stephen R. Gair, Jonathan R. |
| author_sort | Mandel, Ilya |
| collection | MIT |
| description | We investigate a novel approach to measuring the Hubble constant using gravitational-wave (GW) signals from compact binaries by exploiting the narrowness of the distribution of masses of the underlying neutron-star population. Gravitational-wave observations with a network of detectors will permit a direct, independent measurement of the distance to the source systems. If the redshift of the source is known, these inspiraling double-neutron-star binary systems can be used as standard sirens to extract cosmological information. Unfortunately, the redshift and the system chirp mass are degenerate in GW observations. Thus, most previous work has assumed that the source redshift is obtained from electromagnetic counterparts. However, we investigate a novel method of using these systems as standard sirens with GW observations alone. In this paper, we explore what we can learn about the background cosmology and the mass distribution of neutron stars from the set of neutron-star (NS) mergers detected by such a network. We use a Bayesian formalism to analyze catalogs of NS-NS inspiral detections. We find that it is possible to constrain the Hubble constant, H[subscript 0], and the parameters of the NS mass function using gravitational-wave data alone, without relying on electromagnetic counterparts. Under reasonable assumptions, we will be able to determine H[subscript 0] to ±10% using ∼100 observations, provided the Gaussian half-width of the underlying double NS mass distribution is less than 0.04 M[subscript ⊙]. The expected precision depends linearly on the intrinsic width of the NS mass function, but has only a weak dependence on H[subscript 0] near the default parameter values. Finally, we consider what happens if, for some fraction of our data catalog, we have an electromagnetically measured redshift. The detection, and cataloging, of these compact-object mergers will allow precision astronomy, and provide a determination of H[subscript 0] which is independent of the local distance scale. |
| first_indexed | 2024-09-23T12:38:27Z |
| format | Article |
| id | mit-1721.1/70587 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:38:27Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/705872022-09-28T09:09:47Z Cosmology using advanced gravitational-wave detectors alone Mandel, Ilya Taylor, Stephen R. Gair, Jonathan R. MIT Kavli Institute for Astrophysics and Space Research Mandel, Ilya Mandel, Ilya We investigate a novel approach to measuring the Hubble constant using gravitational-wave (GW) signals from compact binaries by exploiting the narrowness of the distribution of masses of the underlying neutron-star population. Gravitational-wave observations with a network of detectors will permit a direct, independent measurement of the distance to the source systems. If the redshift of the source is known, these inspiraling double-neutron-star binary systems can be used as standard sirens to extract cosmological information. Unfortunately, the redshift and the system chirp mass are degenerate in GW observations. Thus, most previous work has assumed that the source redshift is obtained from electromagnetic counterparts. However, we investigate a novel method of using these systems as standard sirens with GW observations alone. In this paper, we explore what we can learn about the background cosmology and the mass distribution of neutron stars from the set of neutron-star (NS) mergers detected by such a network. We use a Bayesian formalism to analyze catalogs of NS-NS inspiral detections. We find that it is possible to constrain the Hubble constant, H[subscript 0], and the parameters of the NS mass function using gravitational-wave data alone, without relying on electromagnetic counterparts. Under reasonable assumptions, we will be able to determine H[subscript 0] to ±10% using ∼100 observations, provided the Gaussian half-width of the underlying double NS mass distribution is less than 0.04 M[subscript ⊙]. The expected precision depends linearly on the intrinsic width of the NS mass function, but has only a weak dependence on H[subscript 0] near the default parameter values. Finally, we consider what happens if, for some fraction of our data catalog, we have an electromagnetically measured redshift. The detection, and cataloging, of these compact-object mergers will allow precision astronomy, and provide a determination of H[subscript 0] which is independent of the local distance scale. Royal Society (Great Britain) National Science Foundation (U.S.) 2012-05-11T21:44:52Z 2012-05-11T21:44:52Z 2012-01 2011-08 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1089-4918 http://hdl.handle.net/1721.1/70587 Taylor, Stephen, Jonathan Gair, and Ilya Mandel. “Cosmology Using Advanced Gravitational-wave Detectors Alone.” Physical Review D 85.2 (2012): n. pag. Web. 11 May 2012. © 2012 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevD.85.023535 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Mandel, Ilya Taylor, Stephen R. Gair, Jonathan R. Cosmology using advanced gravitational-wave detectors alone |
| title | Cosmology using advanced gravitational-wave detectors alone |
| title_full | Cosmology using advanced gravitational-wave detectors alone |
| title_fullStr | Cosmology using advanced gravitational-wave detectors alone |
| title_full_unstemmed | Cosmology using advanced gravitational-wave detectors alone |
| title_short | Cosmology using advanced gravitational-wave detectors alone |
| title_sort | cosmology using advanced gravitational wave detectors alone |
| url | http://hdl.handle.net/1721.1/70587 |
| work_keys_str_mv | AT mandelilya cosmologyusingadvancedgravitationalwavedetectorsalone AT taylorstephenr cosmologyusingadvancedgravitationalwavedetectorsalone AT gairjonathanr cosmologyusingadvancedgravitationalwavedetectorsalone |