Conservative wormholes in generalized $κ(\mathcal{R},\mathcal{T})$-function
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916434340216832 |
|---|---|
| author | Singh, Ksh. Newton Teruel, G. R. P. Maurya, S. K. Chowdhury, Tanmoy Rahaman, Farook |
| author_facet | Singh, Ksh. Newton Teruel, G. R. P. Maurya, S. K. Chowdhury, Tanmoy Rahaman, Farook |
| contents | We present an exhaustive study of wormhole configurations in $κ(\mathcal{R},\mathcal{T})$ gravity with linear and non-linear functions. The model assumed Morrison-Thorne spacetime where the redshift and shape functions linked with the matter contain and geometry of the spacetime through non-covariant conservation equation of the stress-energy tensor. The first solution was explored assuming a constant redshift function that leads to a wormhole (WH) which is asymptotically non-flat. The remaining solutions were explored in two cases. Firstly, assuming a linear equation of state $p(r)=ωρ(r)$ along with different forms of $κ(\mathcal{R},\mathcal{T})-$function. This proved enough to derive a shape function of the form $b(r)=r_{0}\left(\frac{r_{0}}{r}\right)^{1/ω}$. Secondly, by assuming specific choices of the shape function consistent with the wormhole configuration requirements. All the solutions fulfill flare-out condition, asymptotically flat and supported by phantom energy. Further, the embedding surface and its revolution has been generated using numerical method to see how the length of the throat is affected of the coupling parameters through $κ(\mathcal{R},\mathcal{T})$ function. At the end, we have also calculated the average null energy condition, which is satisfied by all the WH models signifying minimum exotic matter is required to open the WH throats. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conservative wormholes in generalized $κ(\mathcal{R},\mathcal{T})$-function Singh, Ksh. Newton Teruel, G. R. P. Maurya, S. K. Chowdhury, Tanmoy Rahaman, Farook General Relativity and Quantum Cosmology 83Dxx, 83-XX02 We present an exhaustive study of wormhole configurations in $κ(\mathcal{R},\mathcal{T})$ gravity with linear and non-linear functions. The model assumed Morrison-Thorne spacetime where the redshift and shape functions linked with the matter contain and geometry of the spacetime through non-covariant conservation equation of the stress-energy tensor. The first solution was explored assuming a constant redshift function that leads to a wormhole (WH) which is asymptotically non-flat. The remaining solutions were explored in two cases. Firstly, assuming a linear equation of state $p(r)=ωρ(r)$ along with different forms of $κ(\mathcal{R},\mathcal{T})-$function. This proved enough to derive a shape function of the form $b(r)=r_{0}\left(\frac{r_{0}}{r}\right)^{1/ω}$. Secondly, by assuming specific choices of the shape function consistent with the wormhole configuration requirements. All the solutions fulfill flare-out condition, asymptotically flat and supported by phantom energy. Further, the embedding surface and its revolution has been generated using numerical method to see how the length of the throat is affected of the coupling parameters through $κ(\mathcal{R},\mathcal{T})$ function. At the end, we have also calculated the average null energy condition, which is satisfied by all the WH models signifying minimum exotic matter is required to open the WH throats. |
| title | Conservative wormholes in generalized $κ(\mathcal{R},\mathcal{T})$-function |
| topic | General Relativity and Quantum Cosmology 83Dxx, 83-XX02 |
| url | https://arxiv.org/abs/2403.19733 |