Louisiana Revised Statutes Tit. 13, § 4792. Decision by judge when jury fail to render verdict

If the jury do not agree, or fail to render a verdict either for the plaintiff or defendant, the jury shall be discharged, and the case shall be immediately submitted to the judge upon the pleadings and evidence already on file, as if the case had been originally tried without the intervention of the jury. The judge shall decide the case at once, without any further proceedings, arguments, continuance or delay.