Polytropic spheres in Palatini f(R) gravity
Enrico Barausse, Thomas P. Sotiriou, John C. Miller
TL;DR
This paper investigates the existence of regular solutions for polytropic spheres in Palatini f(R) gravity and finds that such solutions do not exist for common physical cases, challenging the theory's viability.
Contribution
It demonstrates the non-existence of regular solutions for physically relevant polytropic spheres in Palatini f(R) gravity, questioning its validity as an alternative to General Relativity.
Findings
No regular solutions for monatomic isentropic gas
No regular solutions for degenerate electron gas
Challenges the viability of Palatini f(R) gravity
Abstract
We examine static spherically symmetric polytropic spheres in Palatini f(R) gravity and show that no regular solutions to the field equations exist for physically relevant cases such as a monatomic isentropic gas or a degenerate electron gas, thus casting doubt on the validity of Palatini f(R) gravity as an alternative to General Relativity.
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Taxonomy
TopicsGeophysics and Gravity Measurements · Spacecraft and Cryogenic Technologies · Solar and Space Plasma Dynamics