The extension of general relativity evidently proves the viable construction of traversable wormholes and their existence under the gravitational background. However, Einstein’s gravity does not incorporate these particular types of objects, including exotic matter forms, because of insufficient degrees of freedom. However, the stability and traversability conditions of these objects can be achieved by using alternative gravity frameworks. The main assumption is that solutions to wormholes can manifest as generic characteristics in gravitational theories when more degrees of freedom are added geometrically. Significantly, in the f(G, T) framework, we studied the wormhole solution under the influence of a spherically symmetric metric including three flat and asymptotical regions. Particularly, f(G, T) gravity theories are taken under consideration for the metric formulation, utilizing the well-known Morris-Thorne Relativistic framework model and supposing such metric functions that are time-independent. With the use of the power law f(G, T) model, i.e, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$f(G,T)= \alpha G^{n}+\lambda T$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mrow> <mo stretchy="false">(</mo> <mi>G</mi> <mo>,</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> <mo>=</mo> <mi>α</mi> <msup> <mi>G</mi> <mi>n</mi> </msup> <mo>+</mo> <mi>λ</mi> <mi>T</mi> </mrow> </math></EquationSource> </InlineEquation>, n is power-law exponent which is taken as positive) and (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\alpha$</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$\lambda$</EquationSource> <EquationSource Format="MATHML"><math> <mi>λ</mi> </math></EquationSource> </InlineEquation> are constants, the derivation of the energy and pressure conditions are calculated to comply with the precise solutions of the traversable wormholes. The associations of these extra parameters involved in the study are aligned with regard to the study. Lastly, all three cases are analyzed and end up with the inclusion of exotic matter for the stable and traversable wormhole.

Analysis on spherically symmetric static wormholes solutions in f(G, T) gravity

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发表日期：

2025年9月19日

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H. Aman,
Javlon Rayimbaev,
M. Z. Bhatti,
Z. Yousaf

摘要

The extension of general relativity evidently proves the viable construction of traversable wormholes and their existence under the gravitational background. However, Einstein’s gravity does not incorporate these particular types of objects, including exotic matter forms, because of insufficient degrees of freedom. However, the stability and traversability conditions of these objects can be achieved by using alternative gravity frameworks. The main assumption is that solutions to wormholes can manifest as generic characteristics in gravitational theories when more degrees of freedom are added geometrically. Significantly, in the f(G, T) framework, we studied the wormhole solution under the influence of a spherically symmetric metric including three flat and asymptotical regions. Particularly, f(G, T) gravity theories are taken under consideration for the metric formulation, utilizing the well-known Morris-Thorne Relativistic framework model and supposing such metric functions that are time-independent. With the use of the power law f(G, T) model, i.e, $f(G,T)= \alpha G^{n}+\lambda T$ $f (G, T) = α G^{n} + λ T$ , n is power-law exponent which is taken as positive) and ( $\alpha$ $α$ and $\lambda$ $λ$ are constants, the derivation of the energy and pressure conditions are calculated to comply with the precise solutions of the traversable wormholes. The associations of these extra parameters involved in the study are aligned with regard to the study. Lastly, all three cases are analyzed and end up with the inclusion of exotic matter for the stable and traversable wormhole.