Spontaneous compactification in A d-dimensional quantum gravity model

1988 ◽  
Vol 31 (10) ◽  
pp. 826-829
Author(s):  
S. D. Odintsov ◽  
V. M. Shakhmatov
Keyword(s):  
Quantum Gravity ◽  
Gravity Model ◽  
Spontaneous Compactification

scholarly journals Signature of Randall–Sundrum quantum gravity model in γγ scattering in the TeV range

2000 ◽  
Vol 492 (1-2) ◽  
pp. 148-152 ◽  
Author(s):  
S.R Choudhury ◽  
A Cornell ◽  
G.C Joshi
Keyword(s):  
Quantum Gravity ◽  
Gravity Model

scholarly journals Rainbow Gravity Corrections to the Entropic Force

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Zhong-Wen Feng ◽  
Shu-Zheng Yang
Keyword(s):  
Black Hole ◽  
Field Equation ◽  
Quantum Gravity ◽  
Gravity Model ◽  
Einstein Field Equation ◽  
Friedmann Equation ◽  
Quantum Corrections ◽  
Entropic Force ◽  
Planck Length ◽  
Multifunctional Properties

The entropic force attracts a lot of interest for its multifunctional properties. For instance, Einstein’s field equation, Newton’s law of gravitation, and the Friedmann equation can be derived from the entropic force. In this paper, utilizing a new kind of rainbow gravity model that was proposed by Magueijo and Smolin, we explore the quantum gravity corrections to the entropic force. First, we derive the modified thermodynamics of a rainbow black hole via its surface gravity. Then, according to Verlinde’s theory, the quantum corrections to the entropic force are obtained. The result shows that the modified entropic force is related not only to the properties of the black hole but also to the Planck length lp and the rainbow parameter γ. Furthermore, based on the rainbow gravity corrected entropic force, the modified Einstein field equation and the modified Friedmann equation are also derived.

scholarly journals On Conformally Coupled General Relativity

2018 ◽  
Vol 191 ◽  
pp. 07001
Author(s):  
Andrej Arbuzov ◽  
Boris Latosh
Keyword(s):  
General Relativity ◽  
Quantum Gravity ◽  
Gravity Model ◽  
Conformal Symmetry ◽  
Canonical Quantization ◽  
Coordinate Transformations ◽  
Model Based

A gravity model based on the conformal symmetry is presented. To specify the structure of the general coordinate transformations the Ogievetsky theorem is applied. The nonlinear symmetry realization approach is used. Canonical quantization is performed with the use of reparameterizationinvariant time and the Arnowitt-Deser-Misner foliation. Renormalizability of the constructed quantum gravity model is discussed.

TWO-LOOP APPROACH TO THE EFFECTIVE ACTION IN QUANTUM GRAVITY

1992 ◽  
Vol 07 (14) ◽  
pp. 3203-3233 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
S. D. ODINTSOV ◽  
O. A. FONAREV
Keyword(s):  
Quantum Gravity ◽  
Cosmological Constant ◽  
Minkowski Space ◽  
Effective Action ◽  
Dimensional Regularization ◽  
Dimensional Torus ◽  
Spontaneous Compactification ◽  
Metric Tensor ◽  
First Time

For the first time we present the general formalism and results of calculation of the two-loop effective action in Einstein quantum gravity on the background MN × Tk, where MN is Minkowski space and Tk is a k-dimensional torus. We discuss the case of a zero cosmological constant as well as of a nonzero one. The method of calculating variations of the action on a metric tensor and the technique of calculating momentum integrals in dimensional regularization are presented. Some applications to spontaneous compactification are discussed, as well as some prospects.

scholarly journals SPONTANEOUS COMPACTIFICATION IN 2D INDUCED QUANTUM GRAVITY

1992 ◽  
Vol 07 (26) ◽  
pp. 2369-2376 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV
Keyword(s):  
Quantum Gravity ◽  
Effective Action ◽  
Spontaneous Compactification

Spontaneous compactification – on a R1 × S1 background – in 2D induced quantum gravity (considered as a toy model for more fundamental quantum gravity) is analyzed in the gauge-independent effective action formalism. It is shown that such compactification is stable, in contradistinction to multidimensional quantum gravity on a RD × S1(D > 2) background – which is known to be one-loop unstable.

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