Date of Publication
6-4-2021
Document Type
Master's Thesis
Degree Name
Master of Science in Physics
Subject Categories
Physics
College
College of Science
Department/Unit
Physics
Thesis Advisor
Emmanuel T. Rodulfo
Defense Panel Chair
Robert C. Roleda
Defense Panel Member
Al Rey C. Villagracia
Jose Perico H. Esguerra
Abstract/Summary
This study calculates the weak deflection angle of light rays and the shadow of an extended uncertainty principle (EUP) black hole with dark matter halo. The finite-distance form of the weak deflection angle was determined following Ishihara et al. The EUP correction increases the weak deflection angle of light rays, independent of the dark matter halo. For an M87* SMBH, the EUP gives a significant correction of ≈2.08×10^−7 rad to the Schwarzschild case of ≈4×10^−6 rad, or about 5% correction. Its effect is significantly larger than the dark matter halo by 22 orders of magnitude. The shadow of an EUP blackhole with dark matter halo was determined following Perlick et al. and Konoplya. The EUP correction gives a significant increase in the shadow radius of about 2.6×10^12 m to the Schwarzschild case of ≈5.01×10^13 m, or about 5% correction. The shadow angular radius was fit to the observed value of α_sh ≈21 μas by the EHT [1]. The free parameters of the system were determined: Dark matter thickness ∆rs = 1.76×10^32 m and EUP parameter α = 0.014. This study hopes to provide deeper insight into the macroscopic effects of quantum gravity, particularly its role in the interplay between black holes and dark matter.
Abstract Format
html
Language
English
Format
Electronic
Physical Description
138 leaves
Keywords
Schwarzschild black holes
Recommended Citation
Yu, P. K. (2021). Weak deflection angle and shadow of an extended uncertainty principle black hole with dark matter halo. Retrieved from https://animorepository.dlsu.edu.ph/etdm_physics/2
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Embargo Period
6-4-2021
