On the Chern-Simons State in General Relativity and Modified Gravity Theories

被引：0
|
作者：
Rosas-Rodriguez, Ricardo [1 ]
机构：
[1] Univ Tecnol Vixteca, Inst Fis & Matemat, Huatuapan De Leon 69000, Oaxaca, Mexico
来源：
X WORKSHOP OF THE GRAVITATION AND MATHEMATICAL PHYSICS DIVISION, MEXICAN PHYSICAL SOCIETY | 2014年 / 545卷
关键词：
CONSTRAINT ALGEBRA; VARIABLES;
D O I：
10.1088/1742-6596/545/1/012013
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The Chern-Simons state is one solution to quantum constraints of gravity in the context of general relativity (CR) theory if we use Ashtekar's variables and if one orders the constraints with the triads to the left. Six years ago Krasnov introduced a certain class of modified gravity theories by replacing the cosmological constant by a "cosmological function of the curvature". If this function is a constant we come back to GR. In this note we review how the Chern-Simons state is one solution to the constraints of CR and we state the problem to face if we wish a generalized Chern-Simons state for the modified Krasnov's theories.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] Chern-Simons modified general relativity
    Alexander, Stephon
    Yunes, Nicolas
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 480 (1-2): : 1 - 55
  • [2] Standard general relativity from Chern-Simons gravity
    Izaurieta, F.
    Minning, P.
    Perez, A.
    Rodriguez, E.
    Salgado, P.
    PHYSICS LETTERS B, 2009, 678 (02) : 213 - 217
  • [3] Chern-Simons modified general relativity: Conserved charges
    Tekin, Bayram
    PHYSICAL REVIEW D, 2008, 77 (02):
  • [4] Chern-Simons modification of general relativity
    Jackiw, R
    Pi, SY
    PHYSICAL REVIEW D, 2003, 68 (10):
  • [5] Critical gravity in the Chern-Simons modified gravity
    Moon, Taeyoon
    Myung, Yun Soo
    EUROPEAN PHYSICAL JOURNAL C, 2011, 71 (11): : 1 - 6
  • [6] Decoupling and reduction in Chern-Simons modified gravity
    Ahmedov, Haji
    Aliev, Alikram N.
    PHYSICS LETTERS B, 2010, 690 (02) : 196 - 200
  • [7] Canonical analysis for Chern-Simons modification of general relativity
    Escalante, Alberto
    Pantoja-Gonzalez, J. Aldair
    ANNALS OF PHYSICS, 2023, 451
  • [8] GEOMETRIC DUALITY AND CHERN-SIMONS MODIFIED GRAVITY
    Cabral, L. A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2010, 19 (8-10): : 1323 - 1327
  • [9] Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations
    Bhattacharyya, Soham
    Shankaranarayanan, S.
    PHYSICAL REVIEW D, 2019, 100 (02)
  • [10] Charges and energy in Chern-Simons theories and Lovelock gravity
    Allemandi, G
    Francaviglia, M
    Raiteri, M
    CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (23) : 5103 - 5120
12345