# Gravitational energy, momentum and angular momentum of Schwarzschild Anti-de Sitter space-times in the teleparallel equivalent of general relativity

Author: Nashed, Gamal

Source: Astrophysics and Space Science, Volume 335, Number 2, October 2011 , pp. 593-598(6)

Publisher: Springer

#### Buy & download fulltext article:

OR

Price: $47.00 plus tax (Refund Policy) Abstract: We give a class of spherically symmetric-Anti de Sitter (Ads), exact solution in the teleparallel equivalent of general relativity (TEGR). The solution depends on an arbitrary function$\mathcal{F}(R)\$ and reproduce the metric of Schwarzschild Ads space-time. In the context of the Hamiltonian formulation of the TEGR we compute the gravitational energy of this class. The calculation is carried out by means of an expression for the energy of the gravitational field that naturally arises from the integral form of the constraint equations of the formalism. We show that the form of the energy depends on the arbitrary function. We make a constrain on this arbitrary function to give the correct form of energy.

Document Type: Research Article

Affiliations: Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt, Email: nashed@bue.edu.eg

Publication date: October 1, 2011

Related content

#### Key

Free content
New content
Open access content
Subscribed content
Free trial content

#### Text size:

A | A | A | A
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages. Print this page