| viXra.org > Relativity and Cosmology > 2606 |
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| viXra.org > Relativity and Cosmology > 2606 |
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[7] viXra:2606.0037 [pdf] submitted on 2026-06-10 04:00:39
Authors: Luca Eliseo Pavesi
Comments: 19 pages. English.
We consider a covariant theory of gravity defined by the action S = ∫ d^4x √−g [(16πG)^{-1}(R + αR^2) + L_matter], which reduces to general relativity when α → 0. This theory, belonging to the class of f(R) gravities, is ghost-free and contains an additional massive scalar degree of freedom (the scalaron), and is treated as an effective field theory valid below the Planck scale. We derive the fourth-order field equations step by step, including all boundary terms. We then apply them to a static, spherically symmetric metric describing a traversable wormhole. The metric includes a Gaussian deformation X(r) = A exp[−(r − r0)^2/(2σ^2)] localised around the throat r = r0. The flare-out condition is satisfied for A > −1. We compute all Christoffel symbols exactly, derive the Ricci tensor and scalar, and solve the modified Einstein equations for an anisotropic fluid. The energy conditions are analysed: the null energy condition is violated only in an arbitrarily small region near the throat if α > 0 and the Gaussian parameters are chosen appropriately. We study null geodesics using the corrected radial equation, compute the deflection angle and the Shapiro time delay for light passing near the wormhole, and show that the Gaussian deformation introduces a characteristic shift compared to the Morris—Thorne case. Stability under radial perturbations is analysed in the scalar—tensor representation, showing that the wormhole can be stable for a range of parameters. The asymptotic limit is studied via a post-Newtonian expansion: the PPN parameters remain γ = β = 1, and the scalaron mass m^2 = 1/(6α) is constrained by Solar System tests to be m ≥ 10^{-3} eV. We discuss observational signatures such as lensing, Shapiro delay, and gravitational-wave echoes that make the model falsifiable. All calculations are presented in detail, with intermediate steps collected in appendices.
Category: Relativity and Cosmology
[6] viXra:2606.0036 [pdf] submitted on 2026-06-10 10:13:57
Authors: Hao Shen, Ruipeng Ma
Comments: 19 Pages.
Within the framework of standard general relativity (Einstein 1915), under the assumptions of staticity, spherical symmetry and the strong energy condition, we prove that a geometric transition zone — the "reverse-bending zone" — must appear in the periphery of any finite self-gravitating system, where the t—r sectional curvature changes sign from negative to positive. This zone is bounded by the curvature zero r0, the curvature peak rpeak, and the matter boundary R; in the interval (r0, R) the sectional curvature smoothly transforms from matter-dominated spherical compression to vacuum saddle-shaped stretching. The reverse-bending zone is not a free vacuum but a forced geometry locked jointly by the interior baryonic potential well and the far-field boundary condition. Within this zone, the Misner—Sharp-type gravitational mass M(r) continues to grow: it grows faster than linearly in the region r0 → rpeak, and although the growth slows down in the region rpeak → R, it never ceases. The resulting geometric Weyl stretching together with the self-energy of the gravitational field provide an extra centripetal acceleration, which naturally manifests itself, in the weak-field approximation, as an approximately logarithmic potential and a flattening of the rotation curves. The theory yields parameter-free, falsifiable predictions that can be directly tested with existing rotation-curve and photometric data. These results show that, without introducing new particles or modifying the field equations, the forced geometry within general relativity can produce "dark-matter-like" gravitational effects on galactic scales.
Category: Relativity and Cosmology
[5] viXra:2606.0027 [pdf] submitted on 2026-06-08 19:46:29
Authors: Tanishq Chandu Khandare
Comments: 2 Pages.
I derive a non-vanishing, solution to the Einstein-Maxwell field equations representing a dynamical, radiating, rotating, and charged manifold. Utilizing the Newman-Penrose (NP) formalist, I project the metric onto a nulltetrad {l, n, m, m¯ } to evaluate the Weyl and Ricci scalars. We demonstrate that the resulting stress-energy tensor Tµν = T (null) µν + T(em) µν satisfies the Weak Energy Condition (WEC) and the local conservation law ∇µTµν = 0. By formalizing the EPR criterion for physical completeness, we argue that the stationary KerrNewman limit is a sub-manifold of the broader radiative reality. I further prove that the r = 0 singularity is a transient topological feature that resolves into a Minkowski vacuum in the limit of total evaporation.
Category: Relativity and Cosmology
[4] viXra:2606.0016 [pdf] submitted on 2026-06-06 18:59:43
Authors: Charles Ba Oumar
Comments: 14 Pages.
We will be concerned with the study of relativistic density and hence demonstrate from first principles the possibility of kinematic black hole formation in inertial systems of coordinates in Minkowski spacetime. We will discuss the applicability of these principles to elementary particles on the basis of a set of geometrical assumptions, some general consequences, and also present alternative gravitational equations on the basis of some related elementary considerations. Finally, we will conclude with some general remarks on the meaning of these results.
Category: Relativity and Cosmology
[3] viXra:2606.0015 [pdf] submitted on 2026-06-04 20:13:36
Authors: Viktor Stetsovich
Comments: 12 Pages.
Based on the hypothesis of the aether's existence, this article proposes an explanation for the results of the Fizeau and Michelson experiments, as well as an experiment for detecting the aether.
Category: Relativity and Cosmology
[2] viXra:2606.0010 [pdf] submitted on 2026-06-02 03:54:54
Authors: Moshe Segal
Comments: 16 Pages.
The nowadays Science of Physics still embeds unresolved paradoxes, and incompatibilities between various Physics branches.One significant unresolved paradox is the famous Grandmother Paradox, in which someone returns to the past, kills his grandmother and thus, inhibits his birth, which obviously, also inhibits his ability to travel to the past.In addition to paradoxes, as presented just above, the nowadays Science of Physics still also embeds incompatibilities between various Physics branches.One of these branches is the branch denoted as the Classic Physics, which focuses on understanding and explaining what is denoted as the Macroscopic Environment.Another such branch is the branch denoted as the Quantum Physics, which focuses on understanding and explaining what is denoted as the Microscopic Environment.And, as presented above, these two branches of Physics are not fully compatible, and Humans are still struggling, to expand the knowledge that might bridge the gap that still exists between these two branches of Physics.Moreover, even the branch of the Classic Physics itself, still embeds branches which are also not fully compatible, as for example, the Gravity and the Electromagnetism, and more must be done to bridge the gap that exists also between these two branches, which both belong, as stated above, to the branch of the Classic Physics.Additional papers, by the author of this paper, present significant and reasonable arguments, which argue that the nowadays branch of the Classic Physics might be misleading in how it presents the concept of the Space-Time.By presenting an alternative view of how the Science of Physics should refer to the concept of the Space-Time, possible bridging between incompatible branches of the nowadays Science of Physics might be achieved, and also, a resolution to the famous Grandmother Paradox, might be presented.The above-mentioned additional papers, also propose experiments, which if implemented successfully, might provide validity, to the proposed alternative view of how the Science of Physics should refer to the concept of the Space-Time, which is presented in these additional papers.Thus, since a resolution of the famous Grandmother Paradox might be a significant step forward, and also the above-mentioned possible bridging between incompatible branches of the nowadays Science of Physics might also be a significant step forward, then, an implementation of the above-mentioned experiments, or any other experiments that might provide validity to the alternative view of how the Science of Physics should refer to the concept of the Space-Time, presented in the above-mentioned papers, should be an important and a significant endeavor.
Category: Relativity and Cosmology
[1] viXra:2606.0006 [pdf] submitted on 2026-06-02 14:23:16
Authors: Ion Vlad
Comments: 23 Pages.
The twin paradox is often presented as a consequence of time dilation and the relativity of simultaneity, yet its standard interpretation frequently relies on simplified Minkowski diagrams and ambiguous coordinate assignments that obscure the physical meaning of the turnaround event. This paper re-examines the paradox by constructing a Lorentz-consistent spacetime diagram in which inertial and accelerated phases are treated separately and coordinate assignments are preserved consistently across reference frames. We show that a single spacetime event is invariant under Lorentz transformation; different observers may assign different coordinates to that event, but they do not describe different physical occurrences. The apparent contradiction arises not from simultaneity itself, but from conflating event identity with frame-dependent observation and from applying measurement transformations inconsistently after acceleration has ceased. This construction clarifies the operational meaning of simultaneity and demonstrates that the apparent paradox disappears once all measurements are analysed within a common comparison framework.
Category: Relativity and Cosmology
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