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Singularities in hyperscaling violating spacetimes

2012/10/12 by Keith Copsey, Robert Mann · 22 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Energy condition #Gravitational singularity #Naked singularity #Noncommutative and Quantum Gravity Theories #Null (SQL) #Scaling #Singularity #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep04(2013)079

published in Journal of High Energy Physics 2013(4) (Springer Nature) · 18 pages, 2 figures; v2: added references

arxiv created 2012/10/12 · openalex publication_date 2013/04/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We examine spacetimes which generalize Lifshitz scaling to allow hyperscaling violation invariance (i.e. a constant conformal transformation) for the types of singularities frequently found in the Lifshitz case. We find that most of these spacetimes suffer either from a traditional naked curvature singularity or a null curvature singularity robust against stringy higher derivative corrections. We do find a one-parameter family that evades these issues but this family requires exotic matter, in particular involving a negative energy density that may not be interpreted as due to a cosmological constant.

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