Nonsymmetric Gravitational Theory as a String Theory

TL;DR

This paper explores a version of nonsymmetric gravitational theory (NGT) that aligns with linear Einstein gravity and describes interactions between open strings, predicting no black hole horizons at certain scales.

Contribution

It demonstrates that NGT can be formulated as a string theory with a bounded Hamiltonian and predicts unique gravitational phenomena such as the absence of black hole horizons.

Findings

NGT corresponds to linear Einstein gravity in the weak field limit.

The Hamiltonian describes exchange of a massive vector boson between strings.

Predicted absence of black hole event horizons at certain scales.

Abstract

It is shown that the new version of nonsymmetric gravitational theory (NGT) corresponds in the linear approximation to linear Einstein gravity theory and antisymmetric field equations with a non-conserved string source current. The Hamiltonian for the antisymmetric field equations is bounded from below and describes the exchange of a spin $1^+$ massive vector boson between open strings. The non-Riemannian geometrical theory is formulated in terms of a nonsymmetric fundamental tensor $g_{\mu\nu}$. The weak field limit, $g_{[\mu\nu]}\rightarrow 0$, associated with large distance scales, corresponds to the limit to a confinement region at low energies described by an effective Yukawa potential at galactic distance scales. The limit to this low-energy confinement region is expected to be singular and non-perturbative. The NGT string theory predicts that there are no black hole event horizons associated with infinite red shift null surfaces.