Finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate with a derivative-consistent f(R) curvature sector
Abstract
We present a finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate as a methodological benchmark for constrained numerical model building in modified gravity. The throat condition and local flare-out behaviour are embedded analytically in the shape-function parameterization, while the redshift profile is kept finite by construction. Rather than fitting f(R), fR(R), and fRR(R) as independent numerical arrays, a positive analytic generator is assigned to fRR(R) and integrated to obtain a derivative-consistent reconstructed curvature sector. The frozen reconstruction is evaluated on 10,019 radial nodes over r∈[1,105]. The corresponding Ricci-scalar trajectory spans −1.1317×10−9≤ R≤1.999999998 and is weakly non-monotonic, so no inversion r=r(R) is required. On the same finite grid, the reconstructed source variables retain positive pointwise energy-condition margins, the coordinate-radial null-energy integrals are positive both globally and in the near-throat band, and the maximum normalized tidal-curvature ratio is 0.8666<1. The reconstructed source-side closure diagnostic has a maximum absolute residual of 5.3246×10−5. The source closure is phenomenological rather than derived from a unique microphysical matter Lagrangian or a uniquely specified curvature--matter coupling function. Accordingly, the result is not presented as a full field-equation solution of a specified nonminimally coupled f(R) theory, a stability proof, an exterior-matched global spacetime, or an observer-dependent safe-traversal model. It instead provides a finite-domain computational benchmark for auditable inverse reconstruction of Morris--Thorne-type geometries in modified gravity.
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BibTeX
@misc{turkoglu2026finitedomain,
title = {{Finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate with a derivative-consistent $f(R)$ curvature sector}},
author = {Murat Metehan Türkoğlu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.27485},
eprint = {2608.27485},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27485},
}
RIS
TY - UNPB
TI - Finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate with a derivative-consistent f(R) curvature sector
AU - Murat Metehan Türkoğlu
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2608.27485
UR - https://arxiv.org/abs/2608.27485
AB - We present a finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate as a methodological benchmark for constrained numerical model building in modified gravity. The throat condition and local flare-out behaviour are embedded analytically in the shape-function parameterization, while the redshift profile is kept finite by construction. Rather than fitting f(R), f_R(R), and f_RR(R) as independent numerical arrays, a positive analytic generator is assigned to f_RR(R) and integrated to obtain a derivative-consistent reconstructed curvature sector. The frozen reconstruction is evaluated on 10,019 radial nodes over r∈[1,10^5]. The corresponding Ricci-scalar trajectory spans −1.1317×10^−9≤ R≤1.999999998 and is weakly non-monotonic, so no inversion r=r(R) is required. On the same finite grid, the reconstructed source variables retain positive pointwise energy-condition margins, the coordinate-radial null-energy integrals are positive both globally and in the near-throat band, and the maximum normalized tidal-curvature ratio is 0.8666<1. The reconstructed source-side closure diagnostic has a maximum absolute residual of 5.3246×10^−5. The source closure is phenomenological rather than derived from a unique microphysical matter Lagrangian or a uniquely specified curvature--matter coupling function. Accordingly, the result is not presented as a full field-equation solution of a specified nonminimally coupled f(R) theory, a stability proof, an exterior-matched global spacetime, or an observer-dependent safe-traversal model. It instead provides a finite-domain computational benchmark for auditable inverse reconstruction of Morris--Thorne-type geometries in modified gravity.
ER -