Universal behavior of a compact star based upon the gravitational binding energy
Abstract
Similar to the compactness parameter (β =M /R ), the gravitational binding energy (GBE) is also a characteristic parameter that can reflect the internal structure of a neutron star and thus can be used to express the universal relations. Scaling by the stellar mass, this investigation demonstrates a perfect universal relation between the GBE and the moment of inertia, where both of the normal neutron stars and the quark stars satisfy the same universal relation. Moreover, a fine empirical relation between the GBE and the tidal deformability is proposed, where the difference of the relations can be used to distinguish whether a pulsar is a normal neutron star or a quark star if the stellar mass and the tidal deformability can be observed or estimated rather accurately. These universal relations provide a potential way to estimate the GBE if the stellar mass and the moment of inertia/the tidal deformability are precisely measured.
- Publication:
-
Physical Review D
- Pub Date:
- December 2019
- DOI:
- 10.1103/PhysRevD.100.123010
- arXiv:
- arXiv:1911.10935
- Bibcode:
- 2019PhRvD.100l3010J
- Keywords:
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- Nuclear Theory;
- Astrophysics - High Energy Astrophysical Phenomena
- E-Print:
- 15 pages, 7 figures