Kavli Affiliate: Lijing Shao
| First 5 Authors: Yiming Dong, Zexin Hu, Rui Xu, Lijing Shao,
| Summary:
We develop a consistent approach to calculate the moment of inertia (MOI) for
axisymmetric neutron stars (NSs) in the Lorentz-violating Standard-Model
Extension (SME) framework. To our knowledge, this is the first relativistic MOI
calculation for axisymmetric NSs in a Lorentz-violating gravity theory other
than deformed, rotating NSs in the General Relativity. Under Lorentz violation,
there is a specific direction in the spacetime and NSs get stretched or
compressed along that direction. When a NS is spinning stationarily along this
direction, a conserved angular momentum and the concept of MOI are well
defined. In the SME framework, we calculate the partial differential equation
governing the rotation and solve it numerically with the finite element method
to get the MOI for axisymmetric NSs caused by Lorentz violation. Besides, we
study an approximate case where the correction to the MOI is regarded solely
from the deformation of the NS and compare it with its counterpart in the
Newtonian gravity. Our formalism and the numerical method can be extended to
other theories of gravity for static axisymmetric NSs.
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