Geodesics and Quantum Singularities in (1+1)-dimensional Horava-Lifshitz Gravity

TL;DR

This paper investigates geodesics and quantum singularities within (1+1)-dimensional Horava-Lifshitz gravity, aiming to understand the nature of singularities in this modified gravity framework.

Contribution

The paper attempts to analyze geodesic behavior and quantum singularities in a specific lower-dimensional gravity model, though it was withdrawn due to a crucial sign error.

Findings

Analysis of geodesic completeness in the model

Assessment of quantum singularity conditions

Identification of errors in initial equations

Abstract

This paper has been withdrawn by the author due to a crucial sign error in equation which we use from Ref. 7 that is incorrect. In particular, Eq.(1-8) is not the correct equation from the variation of N. See, for example, Eq.(6) in PRD93, 064043 (2016) for phi = 0 case.