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On the gravitational field of a sphere of incompressible fluid according to Einstein's theory
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Communication by K. Schwarzschild to the Prussian Academy of Sciences, dealing with the gravitational field of a sphere of incompressible fluid.
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Cited by 9 Pith papers
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Ultracompact Anisotropic Stars and Gravastars in General Relativity
Constant-density stars with a covariant anisotropic pressure equation of state admit ultracompact, horizonless GR solutions, regularized into gravastars by a thick shell.
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Vacuum polarization and renormalized stress-energy tensor of spherical thin shells
The Boulware vacuum RVP and RSET for spherical thin shells are computed analytically near the surface and center, and numerically throughout, showing finite interior effects and rapid exterior convergence to Schwarzsc...
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Star equilibrium: from BNG to TOV
Adding TOV-inspired post-Newtonian terms to bootstrapped Newtonian gravity makes the central pressure of homogeneous stars negative before BNG black hole formation, while no Buchdahl limit appears.
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Scalaron-modified null focusing and radial monotonicity in static f(R) gravity
In static f(R) gravity, the sign of an effective matter-plus-scalaron convergence term determines whether the radial metric ratio B/A increases or decreases, and equal endpoint values force the term to vanish.
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Horava Stars Revisited: New Phases of Incompressible Stars and Black Holes, and Buchdahl's Theorem
In non-projectable Hořava gravity, uniform-density stars can be more compact than in general relativity, with a modified Buchdahl bound from 4/9 to 1, plus new ultra-compact and regular black hole phases.
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Gravitational Vacuum Condensate Stars in the Effective Theory of Gravity
The paper derives, within a proposed effective theory of gravity, a boundary-layer action whose variational minimization suggests that a gravastar solution replaces the black hole horizon.
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Signatures of cubic gravity in the strong regime
Einsteinian cubic gravity shrinks (grows) black hole horizons for positive (negative) coupling and shifts the photon sphere enough that SgrA* shadow observations can bound the coupling to approximately 0.1.
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A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes
A tetrad-based framework reduces stationary axisymmetric vacuum Einstein equations to first-order scalar equations and produces a hyperbolic rotating metric, but factor errors and unverified steps undermine the central claim.
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Evolution of Realistic Neutron star in the framework of f (Q) gravity
Applies f(Q) gravity with linear nonmetricity and Krori-Barua metric to four pulsars, finding positive anisotropy, compactness inside Buchdahl limit, and Chi-square agreement for model masses across 30 values of parameter a.
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