$\tilde{\delta}$ Gravity and Schwarzschild Solution

TL;DR

This paper explores the Schwarzschild solution within $ ilde{ ext{delta}}$ Gravity, a novel gravitational model with dual metrics and new matter fields, analyzing phenomena like light deflection, perihelion precession, and black holes.

Contribution

It develops the Schwarzschild geometry in $ ilde{ ext{delta}}$ Gravity, extending previous work on cosmic expansion and dark matter explanations to include classical tests of gravity.

Findings

Modified light deflection by the sun

Altered perihelion precession of planets

Black hole solutions in $ ilde{ ext{delta}}$ Gravity

Abstract

$\tilde{\delta}$ Gravity is a gravitational field model, where the geometry is governed by two symmetric tensors, $g_{\mu \nu}$ and $\tilde{g}_{\mu \nu}$, and new matter fields ($\tilde{\delta}$ Matter fields) are added to the original matter fields. These new components appear motivated by a new symmetry, called $\tilde{\delta}$ symmetry. In previous works, the model is used to explain the expansion of the Universe without Dark Energy and use $\tilde{\delta}$ Matter as a source of Dark Matter. In this paper, we will developed an initial study of Schwarzschild geometry in $\tilde{\delta}$ Gravity to complement the Dark Matter analysis and introduce other phenomena. We will get a modified deflection of light produced by the sun, the perihelion precession and black hole solution.