Astrophysical constraints on unparticle-inspired models of gravity

We use stellar dynamics arguments to constrain the relevant parameters of unparticle-inspired models of gravity. We show that resulting bounds do constrain the parameters of the theory of unparticles, as far as its energy scale satisfies the condition ${\Lambda }_U\ge 1\mathrm{TeV}$ and $d_U$ is close to unity.

Figure 1

Contour plot of $T_r-1$ in function of $R_G$ and $d_U$.

Figure 2

Contour plot of $T_r-1$ in function of $\log R_G$ and $d_U$.

Figure 3

Lower bound of $\log (M_{*}/M_{\mathrm{Pl}})$ for $\alpha =0$ (black curve), $\alpha =2/3$ (dark grey curve), $\alpha =1$ (light grey curve), and $\alpha =1.9$ (black, lower curve), and ${\Lambda }_U=1\mathrm{TeV}$ (solid curve) and ${\Lambda }_U={10}^3\mathrm{TeV}$ (dashed curve).

Figure 4

Lower bound of $\log (M_{*}/M_{\mathrm{Pl}})$ for $\alpha =0$ (black curve), $\alpha =2/3$ (dark grey curve), $\alpha =1$ (light grey curve), and $\alpha =1.9$ (black, lower curve), and ${\Lambda }_U=1\mathrm{TeV}$ (solid curve) and ${\Lambda }_U={10}^3\mathrm{TeV}$ (dashed curve).