2018/12/31 by Majid Karimabadi, S. Aliasghar Alavi, S A Alavi +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Formalism (music) #General relativity #Gravitation #Gravitational redshift #Noncommutative and Quantum Gravity Theories #Physics #Schwarzschild metric #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/ab7693
published as Class.Quant.Grav. 37 (2020) 8, 085009 · 21 pages, 9 figures and one table. arXiv admin note: text overlap with arXiv:1412.6036 by other authors
openalex publication_date 2020/02/14 · arxiv created 2020/04/16 · arxiv updated 2020/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract The general theory of relativity is currently the accepted theory of gravity and as such, a large repository of test results has been obtained since its inception in 1915. However, in this paper we only focus on what are considered as the main tests but in non-commutative (NC) geometries. Using the coordinate coherent state formalism, we calculate the gravitational redshift, deflection, and time delay of light, separately, for NC inspired Schwarzschild and Reissner–Nordström black holes. We show the NC predictions have different behavior than the general relativity. We also provide an upper bound on the NC parameter by comparing the NC corrections with the accuracies of gravitational measurements in the case of typical primordial black holes produced in the early Universe. In this regard, we use observational data for the scale factor a at the end of inflation to obtain physical satisfactory results.