Thermodynamics of Hot Neutron Stars and Universal Relations
Over the last few years, the detection of gravitational waves from binary neutron star systems has rekindled our hopes for a deeper understanding of the unknown nature of ultradense matter. In particular, gravitational wave constraints on the tidal deformability of a neutron star can be translated i...
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MDPI AG
2022-07-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/8/395 |
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| author | Pavlos Laskos-Patkos Polychronis S. Koliogiannis Alkiviadis Kanakis-Pegios Charalampos C. Moustakidis |
| author_facet | Pavlos Laskos-Patkos Polychronis S. Koliogiannis Alkiviadis Kanakis-Pegios Charalampos C. Moustakidis |
| author_sort | Pavlos Laskos-Patkos |
| collection | DOAJ |
| description | Over the last few years, the detection of gravitational waves from binary neutron star systems has rekindled our hopes for a deeper understanding of the unknown nature of ultradense matter. In particular, gravitational wave constraints on the tidal deformability of a neutron star can be translated into constraints on several neutron star properties using a set of universal relations. Apart from binary neutron star mergers, supernova explosions are also important candidates for the detection of multimessenger signals. Such observations may allow us to impose significant constraints on the binding energy of neutron stars. The purpose of the present study is twofold. Firstly, we investigate the agreement of finite temperature equations of state with established universal relations. Secondly, we examine the possible existence of a universal relation between the binding energy and the dimensionless tidal deformability, which are the bulk properties connected to the most promising sources for multimessenger signals. We find that hot equations of state are not always compatible with accepted universal relations. Therefore, the use of such expressions for probing general relativity or imposing constraints on the structure of neutron stars would be inconclusive (when thermal effects are present). Additionally, we show that the binding energy and the dimensionless tidal deformability exhibit a universal trend at least for moderate neutron star masses. The latter allows us to set bounds on the binding energy of a 1.4 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>M</mi><mo>⊙</mo></msub></semantics></math></inline-formula> neutron star using data from the GW170817 event. Finally, we provide a relation between the compactness, the binding energy and the dimensionless tidal deformability of a neutron star that is accurate for cold and hot isentropic equations of state. |
| first_indexed | 2024-03-09T12:24:30Z |
| format | Article |
| id | doaj.art-171564fbb6024a899ce9f4bd91e0fa43 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:24:30Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-171564fbb6024a899ce9f4bd91e0fa432023-11-30T22:36:20ZengMDPI AGUniverse2218-19972022-07-018839510.3390/universe8080395Thermodynamics of Hot Neutron Stars and Universal RelationsPavlos Laskos-Patkos0Polychronis S. Koliogiannis1Alkiviadis Kanakis-Pegios2Charalampos C. Moustakidis3Department of Theoretical Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceDepartment of Theoretical Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceDepartment of Theoretical Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceDepartment of Theoretical Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceOver the last few years, the detection of gravitational waves from binary neutron star systems has rekindled our hopes for a deeper understanding of the unknown nature of ultradense matter. In particular, gravitational wave constraints on the tidal deformability of a neutron star can be translated into constraints on several neutron star properties using a set of universal relations. Apart from binary neutron star mergers, supernova explosions are also important candidates for the detection of multimessenger signals. Such observations may allow us to impose significant constraints on the binding energy of neutron stars. The purpose of the present study is twofold. Firstly, we investigate the agreement of finite temperature equations of state with established universal relations. Secondly, we examine the possible existence of a universal relation between the binding energy and the dimensionless tidal deformability, which are the bulk properties connected to the most promising sources for multimessenger signals. We find that hot equations of state are not always compatible with accepted universal relations. Therefore, the use of such expressions for probing general relativity or imposing constraints on the structure of neutron stars would be inconclusive (when thermal effects are present). Additionally, we show that the binding energy and the dimensionless tidal deformability exhibit a universal trend at least for moderate neutron star masses. The latter allows us to set bounds on the binding energy of a 1.4 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>M</mi><mo>⊙</mo></msub></semantics></math></inline-formula> neutron star using data from the GW170817 event. Finally, we provide a relation between the compactness, the binding energy and the dimensionless tidal deformability of a neutron star that is accurate for cold and hot isentropic equations of state.https://www.mdpi.com/2218-1997/8/8/395equation of stateneutron starshot nuclear matteruniversal relations |
| spellingShingle | Pavlos Laskos-Patkos Polychronis S. Koliogiannis Alkiviadis Kanakis-Pegios Charalampos C. Moustakidis Thermodynamics of Hot Neutron Stars and Universal Relations Universe equation of state neutron stars hot nuclear matter universal relations |
| title | Thermodynamics of Hot Neutron Stars and Universal Relations |
| title_full | Thermodynamics of Hot Neutron Stars and Universal Relations |
| title_fullStr | Thermodynamics of Hot Neutron Stars and Universal Relations |
| title_full_unstemmed | Thermodynamics of Hot Neutron Stars and Universal Relations |
| title_short | Thermodynamics of Hot Neutron Stars and Universal Relations |
| title_sort | thermodynamics of hot neutron stars and universal relations |
| topic | equation of state neutron stars hot nuclear matter universal relations |
| url | https://www.mdpi.com/2218-1997/8/8/395 |
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