Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state

We extend the Krori-Barua analysis of the static, spherically symmetric, Einstein-Maxwell field equations and consider charged fluid sources with anisotropic stresses. The inclusion of a new variable (tangential pressure) allows the use of a nonlinear, Chaplygin-type equation of state with coefficients fixed by the matching conditions at the boundary of the source. Some physical features are briefly discussed.

Figure 1

The density parameter $\rho$ is shown against $r$.

Figure 2

The radial pressure $p_r$ is shown against $r$.

Figure 3

The transverse pressure $p_t$ is shown against $r$.

Figure 4

Four different forces acting on fluid elements in static equilibrium are shown against $r$.

Figure 5

The variation of the equation of state parameter ${\omega }_t$ is shown against $r$.

Figure 6

The variations of the left-hand side of the expressions of energy conditions are shown against $r$.

Figure 7

The variation of radial sound speed $v_{\mathrm{sr}}^2$ is shown against $r$.

Figure 8

The variation of tangential sound speed $v_{\mathrm{st}}^2$ is shown against $r$.

Figure 9

The variation of $\mid v_{\mathrm{st}}^2-v_{\mathrm{sr}}^2\mid$ is shown against $r$.

Figure 10

The variation of $v_{\mathrm{st}}^2-v_{\mathrm{sr}}^2$ is shown against $r$.

Figure 11

The variation of $2p_t+p_r-\rho$ is shown against $r$.

Figure 12

The variation of $M_{\mathrm{effective}}$ is shown against $R$.

Figure 13

The variation of $\frac{M_{\mathrm{effective}}}{R}$ is shown against $R$.