BIRKHOFF THEOREM FOR AN R+R2 THEORY OF GRAVITY WITH TORSION
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We investigate the gravitational Lagrangian LG=(c416G)R-(a c16G)a RAR, where the curvatures are computed from a metric-compatible connection with torsion. We prove that the Schwarzschild metric and its torsion-free connection constitute the unique O(3) spherically symmetric (including reflections) solution to the vacuum field equations of LG. 1979 The American Physical Society.