Power-law singularities in string theory and M-theory

Abstract

We extend the definition of the Szekeres-Iyer power-law singularities to supergravity, string and M-theory backgrounds, and find that are characterized by Kasner type exponents. The near singularity geometries of brane and some intersecting brane backgrounds are investigated and the exponents are computed. The Penrose limits of some of these power-law singularities have profiles $A\sim {\mathrm{u}}^{-\gamma }$ for $\gamma \ge 2$. We find the range of the exponents for which $\gamma =2$ and the frequency squares are bounded by 1/4. We propose some qualitative tests for deciding whether a null or timelike spacetime singularity can be resolved within string theory and M-theory based on the near singularity geometry and its Penrose limits.

32 pages

References in corpus (30)

• Massless Black Holes and Conifolds in String Theory
• Penrose limits and maximal supersymmetry
• The eleven-dimensional supermembrane revisited
• Harmonic superpositions of M-branes
• Higher-dimensional resolution of dilatonic black hole singularities
• Celestial Mechanics, Conformal Structures, and Gravitational Waves
• Intersecting M-branes
• Strings in Time-Dependent Orbifolds
• Penrose limits, supergravity and brane dynamics
• Overlapping Branes in M-Theory
• Chaos in Superstring Cosmology
• Plane Wave Limits and T-Duality
• On singularities of spherically symmetric backgrounds in string theory
• Time-dependent Orbifolds and String Cosmology
• Homogeneous Plane Waves
• Solvable model of strings in a time-dependent plane-wave background
• Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
• String vacuum backgrounds with covariantly constant null Killing vector and 2d quantum gravity
• Penrose Limits and Spacetime Singularities
• Oscillatory null singularity inside realistic spinning black holes
• Timelike and null focusing singularities in spherical symmetry: a solution to the cosmological horizon problem and a challenge to the cosmic censorship hypothesis
• Exact Effective Action and Spacetime Geometry in Gauged WZW Models
• The late-time singularity inside non-spherical black holes
• Strings in Singular Time-Dependent Backgrounds
• Penrose Limit and String Theories on Various Brane Backgrounds
• Null weak singularities in plane-symmetric spacetimes
• Kaigorodov spaces and their Penrose limits
• T-Duality and Penrose limits of spatially homogeneous and inhomogeneous cosmologies
• Plane waves with weak singularities
• Penrose Limits of Branes and Marginal Intersecting Branes

Cited by in corpus (6)

• On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions
• Scalar Field Probes of Power-Law Space-Time Singularities
• On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
• Quantum probes of timelike naked singularities in $2+1-$ dimensional power - law spacetimes
• Asymptotic behaviour of curvature and matter in the Penrose limit
• Aspects of Plane Wave (Matrix) String Dynamics