On gravitation theories with limiting curvature

Physics

Scientific paper

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Curvature, Field Theory (Physics), Gravitation Theory, Space-Time Functions, Stellar Models, Einstein Equations, Gravitational Collapse, Lagrangian Equilibrium Points, Quantum Theory, Wave Equations

Scientific paper

Vacuum polarization caused by a strong gravitational field is treated in a phenomenological way by including nonlinear terms in the Lagrangian for the gravitational field. The appearance of a limiting curvature scalar, which should form an upper limit to space-time curvature, is postulated. The question whether such a modification of the Lagrangian will do away with the appearance of event horizons in gravitational collapse is discussed. The free space solutions as well as the solutions for an extended star are compared with the corresponding solutions of the Einstein equations.

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