The field equations for a new theory of gravity are derived from a variational principle when electromagnetic fields are included in the Lagrangian density $\mathcal{L}$. A static spherically symmetric solution to the field equations is obtained, which reduces to the Reissner-Nordström solution when a new gravitational coupling constant $l$ equals zero. For $l>m+{(m^2-4\mathrm{}\pi Q^2)}^{\frac{1}{2}}$ black-hole event horizons are excluded from physical space-time.

• Received 15 December 1978

DOI:https://doi.org/10.1103/PhysRevD.19.3562