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Gravity à la Born–Infeld

Mattias N R Wohlfarth

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A simple technique for the construction of gravity theories in Born–Infeld style is presented, and the properties of some of these novel theories are investigated. They regularize the positive energy Schwarzschild singularity, and a large class of models allows for the cancellation of ghosts. The possible correspondence with low-energy string theory is discussed. By including curvature corrections to all orders in α', the new theories nicely illustrate a mechanism that string theory might use to regularize gravitational singularities.


PACS

04.20.Cv Fundamental problems and general formalism

04.50.-h Higher-dimensional gravity and other theories of gravity

11.25.Yb M theory

MSC

83C10 Equations of motion

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 8 (21 April 2004)

Received 7 October 2003

Published 16 March 2004


A Corrigendum for this article has been published in 2004 Class. Quantum Grav. 21 5297


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