### Abstract

We find asymptotically anti-de Sitter solutions in N= 8 supergravity which have a negative total energy. This is possible since the boundary conditions required for the positive energy theorem are stronger than those required for a finite mass (and allowed by string theory). But the stability of the anti-de Sitter vacuum is still ensured by the positivity of a modified energy, which includes an extra surface term. Some of the negative energy solutions describe the classical evolution of nonsingular initial data to naked singularities. Since there is an open set of such solutions, cosmic censorship is violated generically in supergravity. Using the dual field theory description, we argue that these naked singularities will be resolved in the full string theory.

Original language | English |
---|---|

Article number | 105001 |

Journal | Physical Review D |

Volume | 69 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2004 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*69*(10), [105001]. https://doi.org/10.1103/PhysRevD.69.105001

**Negative energy in string theory and cosmic censorship violation.** / Hertog, Thomas; Horowitz, Gary T.; Maeda, Kengo.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 69, no. 10, 105001. https://doi.org/10.1103/PhysRevD.69.105001

}

TY - JOUR

T1 - Negative energy in string theory and cosmic censorship violation

AU - Hertog, Thomas

AU - Horowitz, Gary T.

AU - Maeda, Kengo

PY - 2004

Y1 - 2004

N2 - We find asymptotically anti-de Sitter solutions in N= 8 supergravity which have a negative total energy. This is possible since the boundary conditions required for the positive energy theorem are stronger than those required for a finite mass (and allowed by string theory). But the stability of the anti-de Sitter vacuum is still ensured by the positivity of a modified energy, which includes an extra surface term. Some of the negative energy solutions describe the classical evolution of nonsingular initial data to naked singularities. Since there is an open set of such solutions, cosmic censorship is violated generically in supergravity. Using the dual field theory description, we argue that these naked singularities will be resolved in the full string theory.

AB - We find asymptotically anti-de Sitter solutions in N= 8 supergravity which have a negative total energy. This is possible since the boundary conditions required for the positive energy theorem are stronger than those required for a finite mass (and allowed by string theory). But the stability of the anti-de Sitter vacuum is still ensured by the positivity of a modified energy, which includes an extra surface term. Some of the negative energy solutions describe the classical evolution of nonsingular initial data to naked singularities. Since there is an open set of such solutions, cosmic censorship is violated generically in supergravity. Using the dual field theory description, we argue that these naked singularities will be resolved in the full string theory.

UR - http://www.scopus.com/inward/record.url?scp=21244437096&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21244437096&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.69.105001

DO - 10.1103/PhysRevD.69.105001

M3 - Article

VL - 69

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 105001

ER -