Authors: Carlos Castro
Accelerated strings in tangent bundle backgrounds are studied in further detail than it has been done in the past. The worldsheet associated with the accelerated open string described in this work envisages a continuum family of worldlines of accelerated points. It is when one embeds the two-dim string worldsheet into the tangent bundle $ TM$ background (associated with a uniformly accelerated observer in spacetime) that the effects of the maximal acceleration are manifested. The induced worldsheet metric as a result of this embedding has a $null$ horizon. It is the presence of this null horizon that limits the acceleration values of the points inside string. If the string crosses the null horizon some of its points will exceed the maximal acceleration value and that portion of the string will become causally disconnected from the rest of string outside the horizon. It is explained why our results differ from those in the literature pertaining the maximal acceleration modifications of the Rindler metric. We also find a modified Rindler metric which has a true curvature singularity at the location of the null horizon due to a finite maximal acceleration. One of the salient features of studying the geometry of the tangent bundle is that the underlying spacetime geometry becomes $observer ~dependent$ as Gibbons and Hawking envisioned long ago. We conclude with some remarks about generalized QFT in accelerated frames and the black hole information paradox.
Comments: 17 Pages. Submitted to the IJMPA
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[v1] 2015-10-26 04:28:01
[v2] 2015-10-31 19:22:57
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