Geodesic
Ultrarelativistic hadrons as cosmic membranes in $\text{TeV}$-gravity models
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 3, pp. 443-451

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We regard an ultrarelativistic hadron moving on a brane embedded in a higher-dimensional space–time as a membrane propagating on a three-brane. For hadron sizes exceeding the compactification radius and characteristic scales of five-dimensional gravitational interaction, this membrane can be regarded as a cosmic membrane in the sense that it extends to the infinities. In the five-dimensional case, a cosmic membrane produces a topological defect similar to the defect produced by a cosmic string in the four-dimensional space–time. This representation allows calculating the effects of the influence of the hadron mass on the gravitational interaction of partons belonging to the colliding hadrons.
Keywords: cosmic membrane, TeV gravity, higher dimension. 
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     author = {I. Ya. Aref'eva},
     title = {Ultrarelativistic hadrons as cosmic membranes in $\text{TeV}$-gravity models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {443--451},
     publisher = {mathdoc},
     volume = {166},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a7/}
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I. Ya. Aref'eva. Ultrarelativistic hadrons as cosmic membranes in $\text{TeV}$-gravity models. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 3, pp. 443-451. http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a7/