Astrophysical constraints on the bumblebee model

In this work the bumblebee model for spontaneous Lorentz symmetry breaking is considered in the context of spherically symmetric astrophysical bodies. A discussion of the modified equations of motion is presented and constraints on the parameters of the model are perturbatively obtained.

Figure 1

Lane-Emden solution for three polytropic indices.

Figure 2

Profile of the relative perturbations $pb/p_0$, $p_V/p_0$, ${\rho }_b/{\rho }_0$ and ${\rho }_V/{\rho }_0$ induced by the bumblebee. The parameters $\xi b^2$ and $A$ were chosen so that the maximum of the perturbations reaches the adopted 1% limit.

Figure 3

Allowed region (in grey) for a relative perturbation of less than 1% for $p_b$ and ${\rho }_b$ on the left side, and $p_V$ along with ${\rho }_V$ on the right side.