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The ghost of vector fields in compact stars

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Silva,  Hector O.
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2110.04594.pdf
(Preprint), 531KB

PhysRevD.105.024046.pdf
(Publisher version), 344KB

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Citation

Silva, H. O., Coates, A., Ramazanoğlu, F. M., & Sotiriou, T. P. (2022). The ghost of vector fields in compact stars. Physical Review D, 105(2): 024046. doi:10.1103/PhysRevD.105.024046.


Cite as: https://hdl.handle.net/21.11116/0000-0009-5F43-2
Abstract
Spontaneous scalarization is a mechanism that allows a scalar field to go
undetected in weak gravity environments and yet develop a nontrivial
configuration in strongly gravitating systems. At the perturbative level it
manifests as a tachyonic instability around spacetimes that solve Einstein's
equations. The end-point of this instability is a nontrivial scalar field
configurationthat can significantly modify a compact object's structure and can
produce observational signatures of the scalar field's presence. Does such a
mechanism exists for vector fields? Here we revisit the model that constitutes
the most straightforward generalization of the original scalarization model to
a vector field and perform a perturbative analysis. We show that a ghost
appears as soon as the square of the naive effective mass squared becomes
negative anywhere. This result poses a serious obstacle in generalizing
spontaneous scalarization to vector fields.