# Compact star in Tolman Kuchowicz spacetime in background of Einstein Gauss Bonnet gravity

## TL;DR

This paper explores anisotropic compact stars within 5D Einstein-Gauss-Bonnet gravity using Tolman-Kuchowicz spacetime, analyzing how the Gauss-Bonnet coupling influences physical properties and stability conditions.

## Contribution

It introduces a novel model of compact stars in 5D Einstein-Gauss-Bonnet gravity with Tolman-Kuchowicz spacetime, examining the effects of the coupling parameter on physical and stability features.

## Key findings

- Gauss-Bonnet coupling affects energy density and pressure profiles.
- Model satisfies causality and energy conditions.
- Physical properties are validated through graphical analysis.

## Abstract

The present work is devoted to the study of anisotropic compact matter distributions within the framework of 5-dimensional Einstein-Gauss-Bonnet gravity. To solve the field equations, we have considered that the inner geometry is described by Tolman-Kuchowicz spacetime. The Gauss-Bonnet Lagrangian is coupled to Einstein-Hilbert action through a coupling constant. When this coupling tends to zero general relativity results are recovered. We analyze the effect of this parameter on the principal salient features of the model, such as energy density, radial and tangential pressure and anisotropy factor.Additionally, the behaviour of the subliminal sound speed of the pressure waves in the principal direction of the configuration and the conduct of the energy-momentum tensor throughout the star are analyzed employing causality condition and energy conditions, respectively. All these subjects are supported by mean of physical, mathematical and graphical survey