# A "black hole" solution of scalar field theory

@article{Nastase2007AH, title={A "black hole" solution of scalar field theory}, author={Horatiu Nastase}, journal={arXiv: High Energy Physics - Theory}, year={2007} }

A black hole-like solution to a toy model scalar field action for the pion is presented. It has a "horizon" that traps pion field information (it cannot escape in finite time) and is thermal, with a finite and calculable temperature, $T=\sqrt{2}/(\pi\alpha)$, with $\alpha$ a coupling parameter. The action is a scalar DBI action (D-brane action), coupled to a particular fixed source term. The DBI action by itself has "catenoid" solutions that have horizons with infinite temperature and trap only…

## 2 Citations

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