Polyakov-like approach to the modified gravity and other geometric theories

被引:0
作者
Sheykin, A. A. [1 ]
Ioffe, M., V [1 ]
Manida, S. N. [1 ]
Paston, S. A. [1 ]
机构
[1] St Petersburg State Univ, HEP & EP Dept, Ulyanovskaya 1, St Petersburg 198504, Russia
关键词
Isometric embedding; Polyakov action; modified gravity; mimetic gravity;
D O I
10.1142/S0219887820500371
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the procedure that allows to rewrite the actions of some modified gravity theories like mimetic gravity and Regge-Teitelboim embedding theory as Einstein-Hilbert actions with additional matter contributions. It turns out that this procedure can be applied to brane action, which leads to a polynomial brane action. We also examine the connection between this procedure and Polyakov trick in string theory.
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页数:9
相关论文
共 24 条
[1]   Curvature quintessence [J].
Capozziello, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2002, 11 (04) :483-491
[2]   Classifying and avoiding singularities in the alternative gravity dark energy models [J].
Capozziello, S. ;
De Laurentis, M. ;
Nojiri, S. ;
Odintsov, S. D. .
PHYSICAL REVIEW D, 2009, 79 (12)
[3]   Cosmological perfect fluids in Gauss-Bonnet gravity [J].
Capozziello, Salvatore ;
Mantica, Carlo Alberto ;
Molinari, Luca Guido .
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (09)
[4]   Cosmological perfect-fluids in f(R) gravity [J].
Capozziello, Salvatore ;
Mantica, Carlo Alberto ;
Molinari, Luca Guido .
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (01)
[5]   Hidden ghost in massive gravity [J].
Chamseddine, Ali H. ;
Mukhanov, Viatcheslav .
JOURNAL OF HIGH ENERGY PHYSICS, 2013, 2013 (03)
[6]   Modified gravity and cosmology [J].
Clifton, Timothy ;
Ferreira, Pedro G. ;
Padilla, Antonio ;
Skordis, Constantinos .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2012, 513 (1-3) :1-189
[7]  
De Cesare M., 2017, THESIS
[8]  
Deruelle N., 2014, J COSMOL ASTROPART P, V2014, P1409
[9]   NEW EMBEDDING MODEL OF GENERAL RELATIVITY [J].
DESER, S ;
PIRANI, FAE ;
ROBINSON, DC .
PHYSICAL REVIEW D, 1976, 14 (12) :3301-3303
[10]  
FRIEDMAN A, 1961, J MATH MECH, V10, P625