Reissner-Nordström and Kerr-like solutions in Finsler-Randers Gravity

Georgios Miliaresis; Konstantinos Topaloglou; Ioannis Ampazis; Nefeli Androulaki; Emmanuel Kapsabelis; Emmanuel N. Saridakis; Panayiotis C. Stavrinos; Alkiviadis Triantafyllopoulos

arXiv · 2505.08009

Reissner-Nordström and Kerr-like solutions in Finsler-Randers Gravity

Georgios Miliaresis·Konstantinos Topaloglou·Ioannis Ampazis·Nefeli Androulaki·Emmanuel Kapsabelis·Emmanuel N. Saridakis·Panayiotis C. Stavrinos·Alkiviadis Triantafyllopoulos

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Abstract

In a previous study we investigated the spherically symmetric Schwarzschild and Schwarzschild-de Sitter solutions within a Finsler-Randers-type geometry. In this work we extend our analysis to charged and rotating solutions, focusing on the Reissner-Nordström and Kerr-like metrics in the Finsler-Randers gravitational framework. In particular, we extract the modified gravitational field equations and we examine the geodesic equations, analyzing particle trajectories and quantifying the deviations from their standard counterparts. Moreover, we compare the results with the predictions of general relativity, and we discuss how potential deviations from Riemannian geometry could be reached observationally.

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Georgios Miliaresis, Konstantinos Topaloglou, Ioannis Ampazis, Nefeli Androulaki, Emmanuel Kapsabelis, Emmanuel N. Saridakis, Panayiotis C. Stavrinos, Alkiviadis Triantafyllopoulos. 2025-05-12. Reissner-Nordström and Kerr-like solutions in Finsler-Randers Gravity. https://arxiv.org/abs/2505.08009

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