Gravitational potential in fractional space

• Authors: Sami Muslih , Dumitru Baleanu , Eqab Rabei
• Languages of publication: EN

Abstracts

EN

In this paper the gravitational potential with β-th order fractional mass distribution was obtained in α dimensionally fractional space. We show that the fractional gravitational universal constant G
α is given by
$$G_\alpha = \frac{{2\Gamma \left( {\frac{\alpha }{2}} \right)}}{{\pi ^{\alpha /2 - 1} (\alpha - 2)}}G$$
, where G is the usual gravitational universal constant and the dimensionality of the space is α > 2.

Keywords

EN

Fractional space; gravitational potential; Gauss’ law

Discipline

• 04.60.Kz: Lower dimensional models; minisuperspace models

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2007
• Volume: 5
• Issue: 3
• Pages: 285-292

Dates

published

1 - 9 - 2007

online

12 - 4 - 2007

Contributors

author

Sami Muslih

• Department of Physics, Al-Azhar University, 1277, Gaza, Palestine

author

Dumitru Baleanu

• Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530, Ankara, Turkey

author

Eqab Rabei

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Identifiers

DOI

10.2478/s11534-007-0014-9