• Corpus ID: 117293066

M-brane singularity formation

@article{Eggers2008MbraneSF,
  title={M-brane singularity formation},
  author={Jens G Eggers and Jens Hoppe},
  journal={arXiv: High Energy Physics - Theory},
  year={2008}
}
  • J. EggersJ. Hoppe
  • Published 9 December 2008
  • Mathematics
  • arXiv: High Energy Physics - Theory
We derive self-similar string solutions in a graph representation, near the point of singularity formation, which can be shown to extend to point-like singularities on M-branes, as well as to the radially symmetric case. 

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References

SHOWING 1-9 OF 9 REFERENCES

Non-linear realization of Poincare invariance in the graph-representation of extremal hypersurfaces

In the Born-Infeld 'harmonic gauge' description of M-branes moving in R^{M+1} the underlying M+2 dimensional Poincare - invariance gives rise to an interesting system of conservation laws showing

The role of self-similarity in singularities of partial differential equations

We survey rigorous, formal and numerical results on the formation of point-like singularities (or blow-up) for a wide range of evolution equations. We use a similarity transformation of the original

The Cauchy Problem for Membranes

We show existence and uniqueness for timelike minimal submanifolds (world volume of p-branes) in ambient Lorentz manifolds admitting a time function in a neighborhood of the initial submanifold. The

Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations

We consider the sharp interface limit ǫ → 0 of the semilinear wave equation 2u + ∇W (u)/ǫ = 0 in R, where u takes values in R, k = 1, 2, and W is a double-well potential if k = 1 and vanishes on the

Conservation Laws and Formation of Singularities in Relativistic Theories of Extended Objects

The dynamics of an M-dimensional extended object whose M+1 dimensional world volume in M+2 dimensional space-time has vanishing mean curvature is formulated in term of geometrical variables (the

Linear and nonlinear waves

The study of waves can be traced back to antiquity where philosophers, such as Pythagoras, studied the relation of pitch and length of string in musical instruments and the subject of classical acoustics was laid down and presented as a coherent whole by John William Strutt in his treatise Theory of Sound.

The Formation of Shocks in 3-Dimensional Fluids

and G

  • Orlandi, Time-like Lorentzian minimal submanifolds as singular limits of nonlinear wave equations
  • 2008