{
  "abstract": "We investigate compact objects using the extended Tolman III equation of state in the framework of $f(R,T)=R+2χT$ gravity. In the matter sector of the Lagrangian density, we employ a new formalism based on the evaluation of the second-order derivative of the matter Lagrangian with respect to the metric \\cite{Jayawiguna:2026das}. We analyze the corresponding observational signatures through axial gravitational perturbations including stellar stability and gravitational echo. We find that the effective potential in $f(R,T)$ gravity is wider and deeper than its counterpart in general relativity (GR). The quasinormal-mode (QNM) frequencies are calculated using the Bohr--Sommerfeld (BS) fitting and both the lower- and higher-order Wentzel--Kramers--Brillouin (WKB) approximations. For the ultracompact configurations considered, trapped modes can tunnel through the potential barrier, giving rise to gravitational-wave echoes. The imaginary parts of the QNM frequencies are found to be negative, $\\Im(ω_n M)<0$, indicating that the perturbations decay exponentially with time. Our results show that the echo train in GR contains more echoes than that in $f(R,T)$ gravity. Finally, assuming that the stellar object is a neutron star and adopting a stellar radius consistent with measurements by the Neutron Star Interior Composition Explorer (NICER), we find that the $f(R,T)$ gravity model yields a characteristic frequency consistent with the estimated frequency associated with GW170817 for $β= 4.663\\times10^{-1}$ and $χ=0.96π$, whereas the corresponding GR model does not exhibit comparable agreement.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30770",
  "author_total": 4,
  "authors": [
    {
      "name": "B. N. Jayawiguna"
    },
    {
      "name": "G. A. Sabian"
    },
    {
      "name": "H. S. Ramadhan"
    },
    {
      "name": "A. Sulaksono"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1hj11wsd3d8xq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30770",
  "fulltext_url": null,
  "id": "1hj11wsd3d8xq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30770",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7223311310",
  "pdf_url": "https://arxiv.org/pdf/2610.30770",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1hj11wsd3d8xq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30770",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30770"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Axial Perturbations of Extended Tolman III in the New $f(R,T)$ Theory",
  "title_text": "Axial Perturbations of Extended Tolman III in the New f(R,T) Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/1hj11wsd3d8xq",
  "venue": "arXiv",
  "versions": []
}