Tidal Deformability of Neutron Stars in Unimodular Gravity

Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new geometric structure will appear with potential observational signat...

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Main Authors: Rui-Xin Yang, Fei Xie, Dao-Jun Liu
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/8/11/576
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author Rui-Xin Yang
Fei Xie
Dao-Jun Liu
author_facet Rui-Xin Yang
Fei Xie
Dao-Jun Liu
author_sort Rui-Xin Yang
collection DOAJ
description Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new geometric structure will appear with potential observational signatures. In this paper, we study the tidal deformability of a compact star in unimodular gravity under the assumption of a non-conserved energy-momentum tensor. Both the electric-type and magnetic-type quadrupole tidal Love numbers are calculated for neutron stars using the polytrope model. It is found that the electric-type tidal Love numbers are monotonically increasing, but the magnetic-type ones are decreasing, with the increase in the non-conservation parameter. Compared with the observational data from the detected gravitational-wave events, a small negative non-conservation parameter is favored.
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spelling doaj.art-b1b2b9d634ef45d994ad445010d945ab2023-11-24T07:12:13ZengMDPI AGUniverse2218-19972022-11-0181157610.3390/universe8110576Tidal Deformability of Neutron Stars in Unimodular GravityRui-Xin Yang0Fei Xie1Dao-Jun Liu2Department of Physics and Center for Astrophysics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Physics and Center for Astrophysics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Physics and Center for Astrophysics, Shanghai Normal University, Shanghai 200234, ChinaUnimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new geometric structure will appear with potential observational signatures. In this paper, we study the tidal deformability of a compact star in unimodular gravity under the assumption of a non-conserved energy-momentum tensor. Both the electric-type and magnetic-type quadrupole tidal Love numbers are calculated for neutron stars using the polytrope model. It is found that the electric-type tidal Love numbers are monotonically increasing, but the magnetic-type ones are decreasing, with the increase in the non-conservation parameter. Compared with the observational data from the detected gravitational-wave events, a small negative non-conservation parameter is favored.https://www.mdpi.com/2218-1997/8/11/576tidal Love numberneutron starunimodular gravity
spellingShingle Rui-Xin Yang
Fei Xie
Dao-Jun Liu
Tidal Deformability of Neutron Stars in Unimodular Gravity
Universe
tidal Love number
neutron star
unimodular gravity
title Tidal Deformability of Neutron Stars in Unimodular Gravity
title_full Tidal Deformability of Neutron Stars in Unimodular Gravity
title_fullStr Tidal Deformability of Neutron Stars in Unimodular Gravity
title_full_unstemmed Tidal Deformability of Neutron Stars in Unimodular Gravity
title_short Tidal Deformability of Neutron Stars in Unimodular Gravity
title_sort tidal deformability of neutron stars in unimodular gravity
topic tidal Love number
neutron star
unimodular gravity
url https://www.mdpi.com/2218-1997/8/11/576
work_keys_str_mv AT ruixinyang tidaldeformabilityofneutronstarsinunimodulargravity
AT feixie tidaldeformabilityofneutronstarsinunimodulargravity
AT daojunliu tidaldeformabilityofneutronstarsinunimodulargravity