  We study a spherically symmetric spacetime made of anisotropic fluid of which
radial equation of state is given by $p_1 = -\rho$. This provides analytic
solutions and a good opportunity to study the static configuration of black
hole plus matter. For a given equation-of-state parameter $w_2 = p_2/\rho$ for
angular directions, we find exact solutions of the Einstein's equation
described by two parameters. We classify the solution into six types based on
the behavior of the metric function. Depending on the parameters, the solution
can have event and cosmological horizons. Out of these, one type corresponds to
a generalization of the Reissiner-Nordstr\"om black hole, for which the
thermodynamic properties are obtained in simple forms. The solutions are stable
under radial perturbations.

General Relativity and Quantum Cosmology