Geodesic
An approximate description of string and $p$-brane dynamics in curved sрace-times
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 402-412 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new formulation for the action of the Nambu–Goto string moving in curved space-time is studied. The action contains a two-dimensional “cosmological” world-sheet term multiplied by a tension parameter. It is shown that the consideration of this cosmological term as a perturbative addition allows one to linearise nonlinear equation for the string. It is argued that in zero approximation with respect to tension of strings and membranes can be considered as dominant gravitation sources for the Friedmann universe with $\kappa=0$. 
@article{TMF_1997_111_3_a6,
     author = {A. A. Zheltukhin and S. N. Roshchupkin},
     title = {An approximate description of string and $p$-brane dynamics in curved s{\cyrr}ace-times},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {402--412},
     year = {1997},
     volume = {111},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a6/}
}
TY  - JOUR
AU  - A. A. Zheltukhin
AU  - S. N. Roshchupkin
TI  - An approximate description of string and $p$-brane dynamics in curved sрace-times
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1997
SP  - 402
EP  - 412
VL  - 111
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a6/
LA  - ru
ID  - TMF_1997_111_3_a6
ER  - 
%0 Journal Article
%A A. A. Zheltukhin
%A S. N. Roshchupkin
%T An approximate description of string and $p$-brane dynamics in curved sрace-times
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1997
%P 402-412
%V 111
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a6/
%G ru
%F TMF_1997_111_3_a6
A. A. Zheltukhin; S. N. Roshchupkin. An approximate description of string and $p$-brane dynamics in curved sрace-times. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 402-412. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a6/

[1] G. Veneziano, “Status of String Cosmology”, Proceedings of the Erice Course “String Gravity and Physics at the Planck Scale”, NATO ASI Series, eds. N. Sanches and A. Zichichi, 1996, 285–304 | MR

[2] M. Gasperini, G. Veneziano, Phys. Rev. D, 50 (1994), 2519 | DOI

[3] N. Sanchez, G. Veneziano, Nucl. Phys. B, 333 (1990), 253 | DOI

[4] M. Gasperini, N. Sanchez, G. Veneziano, Nucl. Phys. B, 364 (1991), 653 ; CERN Preprints TH. 5893/91; TH. 5010/91 | DOI | MR

[5] H. J. de Vega, N. Sanchez, Phys. Lett. B, 197 (1987), 320 | DOI | MR

[6] H. J. de Vega, N. Sanchez, “String Quantum Gravity. String Theory in Curved Space”, Proceedings of the Erice Course “String Gravity and Physics at the Planck Scale”, NATO ASI Series, eds. N. Sanches and A. Zichichi, 1996, 11 | MR | Zbl

[7] H. J. de Vega, N. Sanchez, Nucl. Phys. B, 309 (1988), 552 | DOI | MR

[8] A. Shild, Phys. Rev. D, 16 (1977), 1722 | DOI

[9] A. Karlhede, O. Lindstrom, Class. Quantum Gravit., 3 (1986), 73 | DOI | MR

[10] A. A. Zheltukhin, Pisma v ZhETF, 46 (1987), 208 ; ЯФ, 48 (1988), 587 | MR | MR

[11] A. A. Zheltukhin, YaF, 51 (1990), 1504 ; A. A. Zheltukhin, Nucl. Phys. B, 364 (1991), 265 | MR

[12] M. Green, J. Schwarz, E. Witten, Superstring Theory, V. I, Cambridge University Press, 1987 | MR | Zbl

[13] I. A. Bandos, A. A. Zheltukhin, Fortschr. Phys., 41 (1993), 619 | MR

[14] A. Z. Petrov, Novye metody v obschei teorii otnositelnosti, Nauka, M., 1966 | MR

[15] J. H. Schwarz, Lectures superstring and $M$ theory dualities, E-print hep-th/9607201 | MR

[16] J. Polchinski, S. Chaudhuri, C. V. Jonson, Notes on $D$-branes, E-print hep-th/9602052

[17] E. Witten, Small instantons in string theory, E-print hep-th/954030 | MR

[18] A. Strominger, Open $p$-branes, E-print hep-th/9512059 | MR

[19] M. Bershadsky, C. Vafa, V. Sadov, $D$-strings on $D$-manifolds, Preprint HUTP-95/A035, Harvard | MR

[20] A. Hanany, I. Klebanov, One tensionless strings in $3+1$ dimensions, E-print hep-th/9606136 | MR

[21] S. Kar, Phys. Rev. D, 53 (1996), 6842 | DOI | MR

[22] M. P. Dabrowski, A. L. Larsen, Null strings in Schwarzschild spacetime, E-print hep-th/9610243 | MR

[23] S. N. Roshchupkin, A. A. Zheltukhin, Class. Quantum Gravit., 12 (1995), 2529 | DOI | MR

[24] H. J. de Vega, A. Nicolaidis, Phys. Lett. B, 295 (1992), 214 | DOI

[25] C. O. Lousto, N. Sanchez, Phys. Rev. D, 54 (1996), 6399 | DOI | MR