| Autor: |
Umair Ujala, Sacheendra Shukla, S. N. Pandey |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Songklanakarin Journal of Science and Technology (SJST), Vol 45, Iss 5, Pp 561-569 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
0125-3395 |
| Popis: |
We obtain the solutions of Einstein’s field equations for an anisotropic fluid in a static spherically symmetric metric with off-diagonal elements. We also study the pioneer anomaly with the help of the obtained solutions. First, we derive analytical solutions to study sudden change in gravity in the radial and tangential directions of a non-homogeneous gravitational system by considering Π as a constant. Then we find other solutions by considering Π as a function of r in the space of gravitating object. We extend our solutions in the numerical limits to verify the unusual behavior of gravity at larger distances for the inhomogeneous system. We show a sudden increase in radial pressure for 𝑟𝜖[0, 20] as well as the tangential pressure for 𝜃𝜖[0, 𝜋], which may be treated as a factor of pioneer anomaly. We obtain the anomalous acceleration 2.493 × 10−11𝑚/𝑠 2 at a distance of 20 AU from the Sun, which has better accuracy than other theoretical calculations when it is compared to the observed value. We also derive an expression for cosmological constant in terms of 𝑟. We establish that the cosmological constant is a function of 𝑟, which seems to be variable but its variability diminishes for large values of 𝑟. The results of this study are interesting and quite new. The selected spherically symmetric metric with off-diagonal elements provides a modified method to observe the phenomena of general relativity. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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