#### Title

Schwarzschild-dS solution in modified teleparallel gravity theories

#### Document Type

Article

#### Publication Date

4-15-2014

#### Abstract

A tetrad field, having one unknown function of radial coordinate r and an angle Φ which is a function of the azimuthal angle Φ, is applied to the field equation of modified teleparallel theory of gravity with cosmological constant. Exact vacuum solution is derived whose scalar torsion, T = Tα uv Suv α , (where Tα uv is the torsion tensor and Suv α is a tensor defined in terms of the contortion and torsion tensors), is vanishing. When the angle φ coincides with the polar angle (-φ), another solution is derived whose scalar torsion is constant. The space-time of the derived solutions is rewritten as a multiplication of two matrices: The first matrix is a special case of Euler's angle "so(3)" while the second matrix represents the square root of the spherically-symmetric-dS metric. © 2014 The Physical Society of Japan.

#### Recommended Citation

Nashed, Gamal G.L., "Schwarzschild-dS solution in modified teleparallel gravity theories" (2014). *Centre for Theoretical Physics*. 101.

https://buescholar.bue.edu.eg/centre_theoretical_physics/101