**Commenced**in January 2007

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**Paper Count:**32579

##### Effect of the Tidal Charge Parameter on Temperature Anisotropies of the Cosmic Microwave Background Radiation

**Authors:**
Evariste Norbert Boj,
Jan Schee

**Abstract:**

We present the calculations of the temperature anisotropy of the cosmic microwave background radiation (CMBR) caused by an inhomogeneous region (the clump) within the Friedmann-Lemaitre-Robertson-Walker (FLRW) model of the Universe build in the framework of the Randall-Sundrum one brane model. We present two spherically symmetrical and statical models of the clump, the braneworld Reissner-Nordstrom black hole (bRNBH) and the perfect fluid sphere of uniform density matched to the FLRW spacetime via an external bRNBH. The boundary of the vacuum region expands, which induces an additional frequency shift to a photon of the CMBR passing through this inhomogeneity in comparison to the case of a photon propagating through a pure FLRW spacetime. This frequency shift is associated with an effective change of temperature of the CMBR in the corresponding direction. We give estimates on the changes of the effective temperature of the CMBR’s photon with the change of parameters describing the brane and the induced tidal forces from the bulk.

**Keywords:**
Braneworld,
CMBR,
Randall-Sundrum model,
Rees-Sciama effect,
Reissner-Nordstrom black hole.

**References:**

[1] Randall L. and Sundrum R., Large Mass Hierarchy from a Small Extra Dimension, Phys. Rev. Lett., 83, 17, pp.3370-3373 (1999)

[2] Randall L. and Sundrum R., An Alternative to Compactification, Phys. Rev. Lett., 83, 23, pp.4690-4693 (1999)

[3] Rees, M.J; Sciama,D.W. Large-scale density inhomogeneities in the universe. Nature, 1968, 217.5128: 511-516,

[4] Dyer C. C., The gravitational perturbation of the cosmic background radiation by density concentrations, Month. Not. of the Roy. Astron. Soc., 175, p. 429-447 (1976)

[5] Stuchl´ık Z., The motion of test particles in black-hole backgrounds with non-zero cosmological constant,Bull. of the Astron. Inst. of Czechoslovakia, 34, 129-149 (1983)

[6] Stuchl´ık Z., An Einstein-Strauss-de Sitter model of the universe, Bull. of the Astron. Inst. of Czechoslovakia 35, 205-215 (1984)

[7] Maartens R. and Koyama K., Brane-World Gravity, Liv. Rev. in Rel., 13, 1, id. 5, 124pp. (2010)

[8] Weinberg S., Cosmology, Oxford Univ. Press, ISBN 978-0-19-852682-7 (2008)

[9] Shiromizu T., Maeda K., and Sasaki M., The Einstein equations on the 3-brane world, Phys. Rev. D, 62, 2, id.024012 (2000)

[10] Germani C. and Maartens R., Stars in the braneworld, Phys. Rev. D, 87, 231302 (2001)

[11] Dadhich N., Maartens R., Papadoupoulos P., and Rezania V., Black holes on the brane, Phys. Lett. B, 487, 1-6 (2000)