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Cited by 851

The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.

Relativistic tidal properties of neutron stars

Open access
Damour, Thibault, Nagar, Alessandro·2009·Physical Review D
DOI 10.1103/physrevd.80.084035
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Abstract

We study the various linear responses of neutron stars to external relativistic tidal fields. We focus on three different tidal responses, associated to three different tidal coefficients: (i) a gravito-electric-type coefficient $G{\ensuremath{\mu}}_{\ensuremath{\ell}}=[\mathrm{\text{length}}{]}^{2\ensuremath{\ell}+1}$ measuring the $\ensuremath{\ell}$th-order mass multipolar moment $G{M}_{{a}_{1}\dots{}{a}_{\ensuremath{\ell}}}$ induced in a star by an external $\ensuremath{\ell}$th-order gravito-electric tidal field ${G}_{{a}_{1}\dots{}{a}_{\ensuremath{\ell}}}$; (ii) a gravito-magnetic-type coefficient $G{\ensuremath{\sigma}}_{\ensuremath{\ell}}=[\mathrm{\text{length}}{]}^{2\ensuremath{\ell}+1}$ measuring the $\ensuremath{\ell}$th spin multipole moment $G{S}_{{a}_{1}\dots{}{a}_{\ensuremath{\ell}}}$ induced in a star by an external $\ensuremath{\ell}$th-order gravito-magnetic tidal field ${H}_{{a}_{1}\dots{}{a}_{\ensuremath{\ell}}}$; and (iii) a dimensionless ``shape'' Love number ${h}_{\ensuremath{\ell}}$ measuring the distortion of the shape of the surface of a star by an external $\ensuremath{\ell}$th-order gravito-electric tidal field. All the dimensionless tidal coefficients $G{\ensuremath{\mu}}_{\ensuremath{\ell}}/{R}^{2\ensuremath{\ell}+1}$, $G{\ensuremath{\sigma}}_{\ensuremath{\ell}}/{R}^{2\ensuremath{\ell}+1}$, and ${h}_{\ensuremath{\ell}}$ (where $R$ is the radius of the star) are found to have a strong sensitivity to the value of the star's ``compactness'' $c\ensuremath{\equiv}GM/({c}_{0}^{2}R)$ (where we indicate by ${c}_{0}$ the speed of light). In particular, $G{\ensuremath{\mu}}_{\ensuremath{\ell}}/{R}^{2\ensuremath{\ell}+1}\ensuremath{\sim}{k}_{\ensuremath{\ell}}$ is found to strongly decrease, as $c$ increases, down to a zero value as $c$ is formally extended to the ``black hole (BH) limit'' ${c}^{\mathrm{BH}}=1/2$. The shape Love number ${h}_{\ensuremath{\ell}}$ is also found to significantly decrease as $c$ increases, though it does not vanish in the formal limit $c\ensuremath{\rightarrow}{c}^{\mathrm{BH}}$, but is rather found to agree with the recently determined shape Love numbers of black holes. The formal vanishing of ${\ensuremath{\mu}}_{\ensuremath{\ell}}$ and ${\ensuremath{\sigma}}_{\ensuremath{\ell}}$ as $c\ensuremath{\rightarrow}{c}^{\mathrm{BH}}$ is a consequence of the no-hair properties of black holes. This vanishing suggests, but in no way proves, that the effective action describing the gravitational interactions of black holes may not need to be augmented by nonminimal worldline couplings.

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Metadata

Authors
Damour, T., & Nagar, A.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2009-10-23
Volume
80
Issue
8
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.80.084035
OpenAlex
W1995777558
Cited by
851
References
38
FWCI
5.48
Type
journal article
Language
en
Open access
green

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