Approximate analytical treatment of gravitational potential with relativistic correction in Bianchi type-I cosmology

被引：0
|
作者：
Zarrinkamar, S. [1 ]
Hassanabadi, H. [2 ]
机构：
[1] Islamic Azad Univ, Garmsar Branch, Dept Basic Sci, Garmsar, Iran
[2] Islamic Azad Univ, Shahrood Branch, Dept Basic Sci, Shahrood, Iran
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2013年 / 128卷 / 08期
关键词：
Gravitational Potential; Relativistic Correction; Jacobi Polynomial; Quantum Cosmology; Heavy Object;
D O I：
10.1140/epjp/i2013-13083-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
As the theory of general relativity implies corrections to the classical gravitational potential, we consider the Wheeler-DeWitt equation for anisotropically expanding homogeneous high-dimension spaces with a modified gravitational potential which includes a relativistic correction indicating the Schwarzschild radii of heavy objects. By proposing an approximation scheme, we report the wave function in terms of the Jacobi polynomial. The eigenvalue equation is reported as well.
引用
收藏
页码：1 / 4
页数：4
相关论文
共 50 条
  • [31] Bianchi Type-I Dust-Filled Accelerating Brans-Dicke Cosmology
    Sharma, Umesh Kumar
    Goswami, Gopi Kant
    Pradhan, Anirudh
    GRAVITATION & COSMOLOGY, 2018, 24 (02): : 191 - 200
  • [32] Bianchi type-I models in self-creation cosmology with constant deceleration parameter
    J. P. Singh
    R. K. Tiwari
    Sushil Kumar
    Astrophysics and Space Science, 2008, 314 : 145 - 150
  • [33] LRS Bianchi type-I models with constant deceleration parameter in creation field cosmology
    K. S. Adhav
    A. S. Bansod
    M. S. Desale
    R. B. Raut
    Astrophysics and Space Science, 2011, 331 : 689 - 695
  • [34] N-dimensional Bianchi type-I universe in creation-field cosmology
    Adhav, K. S.
    Katore, S. D.
    Gadodia, P. S.
    Bansod, A. S.
    ASTROPHYSICS AND SPACE SCIENCE, 2010, 327 (01) : 125 - 130
  • [35] Sharma–Mittal holographic dark energy and scalar field in Bianchi type-I cosmology
    Sibel Korunur
    General Relativity and Gravitation, 2024, 56
  • [36] PERFECT FLUID MODELS OF BIANCHI TYPE-I IN MODIFIED BRANS-DICKE COSMOLOGY
    SINGH, T
    SINGH, T
    JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (09) : 2800 - 2802
  • [37] LRS Bianchi type-I models with constant deceleration parameter in creation field cosmology
    Adhav, K. S.
    Bansod, A. S.
    Desale, M. S.
    Raut, R. B.
    ASTROPHYSICS AND SPACE SCIENCE, 2011, 331 (02) : 689 - 695
  • [38] Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmology
    Saha, Bijan
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (10):
  • [39] Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmology
    Bijan Saha
    The European Physical Journal Plus, 134
  • [40] Cosmology of Bianchi type-I metric using renormalization group approach for quantum gravity
    Mandal, Rituparna
    Gangopadhyay, Sunandan
    Lahiri, Amitabha
    CLASSICAL AND QUANTUM GRAVITY, 2020, 37 (06)
12345