Buchdahl surface of anisotropic compact objects

Authors

  • Joshua Beethoven P. Bautista ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Michael Francis Ian G. Vega II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The equations of structure for anisotropic stars can be recast into a three-dimensional regular and autonomous dynamical system in a compact state space. When these equations are studied from a dynamical systems viewpoint, they allow us to obtain robust insights into the nature of the Buchdahl limit for anisotropic compact objects that are valid for a large class of equations of state. Here, using the Bowers-Liang ansatz for the anisotropy term, we show that anisotropic stars are able to exceed the standard (i.e. isotropic) Buchdahl bound, and determine a necessary condition on the equation of state that allows for this violation.

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Issue

Article ID

SPP-2021-PC-16

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2021-10-15

How to Cite

[1]
JBP Bautista and MFI Vega, Buchdahl surface of anisotropic compact objects, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-PC-16 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-PC-16.