Braneworld quadratic and nonlocal corrections weaken gravity in anisotropic Einstein-cluster environments around black holes, blocking horizon formation and shifting Einstein-ring and shadow radii in ways that may constrain brane tension for sub-stellar-mass objects.
Gravastar Solutions with Continuous Pressures and Equation of State
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abstract
We study the gravitational vacuum star (gravastar) configuration as proposed by other authors in a model where the interior de Sitter spacetime segment is continuously extended to the exterior Schwarzschild spacetime. The multilayered structure in previous papers is replaced by a continuous stress-energy tensor at the price of introducing anisotropy in the (fluid) model of the gravastar. Either with an ansatz for the equation of state connecting the radial $p_r$ and tangential $p_t$ pressure or with a calculated equation of state with non-homogeneous energy/fluid density, solutions are obtained which in all aspects satisfy the conditions expected for an anisotropic gravastar. Certain energy conditions have been shown to be obeyed and a polytropic equation of state has been derived. Stability of the solution with respect to possible axial perturbation is shown to hold.
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Astrophysical environment around a black hole in the braneworld and its optical signatures
Braneworld quadratic and nonlocal corrections weaken gravity in anisotropic Einstein-cluster environments around black holes, blocking horizon formation and shifting Einstein-ring and shadow radii in ways that may constrain brane tension for sub-stellar-mass objects.