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gr-qc

A tweaked black hole that looks like Schwarzschild but isn't

Mohsen Fathi

May 20, 2026

In Lorentz gauge theory, the simplest black hole solution resembles Schwarzschild but has its horizon size and surface gravity rescaled by a parameter A₀. Working through the standard toolkit — Eddington-Finkelstein, Kruskal-Szekeres, and Carter-Penrose diagrams — the analysis confirms the causal skeleton is identical to Schwarzschild (same two exteriors, black-hole and white-hole regions), yet the geometry is physically distinct whenever A₀ ≠ 1. This means Lorentz gauge black holes could in principle be distinguished from general-relativistic ones through measurements sensitive to surface gravity or horizon scale.
Published as Maximal extension of Schwarzschild-like spacetimes in Lorentz gauge theory arXiv:2605.21823
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