Study of quasinormal modes, greybody bounds, and sparsity of Hawking radiation within the metric-affine bumblebee gravity framework

Author:

Sohan Kumar Jha, Anisur Rahaman

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc), High Energy Physics - Theory (hep-th)

journal:

date:

2023-10-09 16:00:00

Abstract

In this article, we consider a static and spherically symmetric black hole metric that is a vacuum solution of the traceless metric-affine bumblebee model. Our study focuses on the possible implications of the modifications induced by the model on various astrophysical observables such as quasinormal modes, ringdown waveforms, Hawking spectrum, and sparsity. We explore the impact of the Lorentz symmetry-breaking parameter $\alpha$ on quasinormal modes with the help of the $6th$ order WKB method. Our inquisition reveals that the emission frequency and decay rate initially decreases with $\alpha$ and then increases. The convergence of the WKB method for various orders is also studied here. We then analyze the Hawking temperature, spectrum, and sparsity in this modified gravity framework that provides valuable insights into the thermal radiation emitted by black holes. It points out that the Hawking temperature, the peak of the power spectrum, and the total power emitted initially decrease and then increase with $\alpha$. However, The variation of the sparsity concerning $\alpha$ follows a reverse trend. With the extensive study of these astrophysical phenomena, we intend to study the effects of the metric-affine bumblebee model.

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