# Light bending in the galactic halo by Rindler-Ishak method

## Abstract

After the work of Rindler and Ishak, it is now well established that the bending of light is influenced by the cosmological constant Λ appearing in the Schwarzschild-de Sitter spacetime. We show that their method, when applied to the exact Mannheim-Kazanas-de Sitter solution of the Weyl conformal gravity, nicely yields the expected answer together with several other physically interesting new terms. Apart from Λ, the solution is parametrized by a conformal parameter γ, which is known to play a dominant role in the galactic halo gravity. The application of the method yields exactly the same γ− correction to Schwarzschild bending as obtained by standard methods. Different cases are analyzed, which include some corrections to the special cases considered in the original paper by Rindler and Ishak.

- Authors:

- Department of Mathematics, University of North Bengal, Rajarammohunpur, Siliguri 734 013 (India)
- Joint Research Laboratory, Bashkir State Pedagogical University, 3A, October Revolution Street, Ufa 450000 (Russian Federation)
- Dipartimento di Matematica, Istituto ''G. Castelnuovo'', Università La Sapienza, P.le Aldo Moro, 2, Rome (Italy)

- Publication Date:

- OSTI Identifier:
- 22275419

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2010; Journal Issue: 09; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CORRECTIONS; COSMOLOGICAL CONSTANT; COSMOLOGY; DE SITTER GROUP; DE SITTER SPACE; GRAVITATION; MATHEMATICAL SOLUTIONS; SCHWARZSCHILD METRIC; VISIBLE RADIATION; WEYL UNIFIED THEORY

### Citation Formats

```
Bhattacharya, Amrita, Nandi, Kamal K., Isaev, Ruslan, Scalia, Massimo, and Cattani, Carlo, E-mail: amrita_852003@yahoo.co.in, E-mail: subfear@gmail.com, E-mail: Massimo.Scalia@uniroma1.it, E-mail: ccattani@unisa.it, E-mail: kamalnandi1952@yahoo.co.in.
```*Light bending in the galactic halo by Rindler-Ishak method*. United States: N. p., 2010.
Web. doi:10.1088/1475-7516/2010/09/004.

```
Bhattacharya, Amrita, Nandi, Kamal K., Isaev, Ruslan, Scalia, Massimo, & Cattani, Carlo, E-mail: amrita_852003@yahoo.co.in, E-mail: subfear@gmail.com, E-mail: Massimo.Scalia@uniroma1.it, E-mail: ccattani@unisa.it, E-mail: kamalnandi1952@yahoo.co.in.
```*Light bending in the galactic halo by Rindler-Ishak method*. United States. doi:10.1088/1475-7516/2010/09/004.

```
Bhattacharya, Amrita, Nandi, Kamal K., Isaev, Ruslan, Scalia, Massimo, and Cattani, Carlo, E-mail: amrita_852003@yahoo.co.in, E-mail: subfear@gmail.com, E-mail: Massimo.Scalia@uniroma1.it, E-mail: ccattani@unisa.it, E-mail: kamalnandi1952@yahoo.co.in. Wed .
"Light bending in the galactic halo by Rindler-Ishak method". United States.
doi:10.1088/1475-7516/2010/09/004.
```

```
@article{osti_22275419,
```

title = {Light bending in the galactic halo by Rindler-Ishak method},

author = {Bhattacharya, Amrita and Nandi, Kamal K. and Isaev, Ruslan and Scalia, Massimo and Cattani, Carlo, E-mail: amrita_852003@yahoo.co.in, E-mail: subfear@gmail.com, E-mail: Massimo.Scalia@uniroma1.it, E-mail: ccattani@unisa.it, E-mail: kamalnandi1952@yahoo.co.in},

abstractNote = {After the work of Rindler and Ishak, it is now well established that the bending of light is influenced by the cosmological constant Λ appearing in the Schwarzschild-de Sitter spacetime. We show that their method, when applied to the exact Mannheim-Kazanas-de Sitter solution of the Weyl conformal gravity, nicely yields the expected answer together with several other physically interesting new terms. Apart from Λ, the solution is parametrized by a conformal parameter γ, which is known to play a dominant role in the galactic halo gravity. The application of the method yields exactly the same γ− correction to Schwarzschild bending as obtained by standard methods. Different cases are analyzed, which include some corrections to the special cases considered in the original paper by Rindler and Ishak.},

doi = {10.1088/1475-7516/2010/09/004},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 09,

volume = 2010,

place = {United States},

year = {Wed Sep 01 00:00:00 EDT 2010},

month = {Wed Sep 01 00:00:00 EDT 2010}

}