Abstract We investigate the global causal structure of end state a spherically symmetric marginally bound Lemaitre–Tolman–Bondi (LTB) (Lemaitre 1933 Ann. Soc. Sci. Brux. A 53 51, Tolman 1934 Proc. Natl Acad. USA 20 169–76, Bondi 1947 Mon. Not. Astron. 107 410) collapsing cloud (which is well studied in general relativity) framework modified gravity having generalized Lagrangian <?CDATA $R+\alph...

We derive exact, modified geodesic equations for a system of non-spinning, self-gravitating interacting bodies in class alternative theories gravity to general relativity. use prescription proposed by Eardley incorporating the effects self-gravity within gravitationally bound bodies, which their masses may depend on invariant quantities constructed from auxiliary scalar, vector or tensor fields...

We investigate the effect of deviations from general relativity on approach to the initial singularity by finding exact cosmological solutions to a wide class of fourth-order gravity theories. We present new anisotropic vacuum solutions of modified Kasner type and demonstrate the extent to which they are valid in the presence of non-comoving perfect-fluid matter fields. The infinite series of M...

the three-phase-lag model and green–naghdi theory without energy dissipation are employed to study the deformation of a two-temperature fiber-reinforced medium with an internal heat source that is moving with a constant speed under a hydrostatic initial stress and the gravity field.  the modulus of the elasticity is given as a linear function of the reference temperature. the exact expressions ...

Globular clusters in the Milky Way have characteristic velocity dispersions that are consistent with the predictions of Newtonian gravity, and may be at odds with Modified Newtonian Dynamics (MOND) and possibly the cold dark matter model. We discuss a modified gravity (MOG) theory that can successfully model the velocity dispersions of GCs in the Galactic neighborhood. MOG produces velocity dis...

We deal with a Yukawa-like long-range modified model of gravity (MOG) which recently allowed to successfully accommodate many astrophysical and cosmological features without resorting to dark matter. On Solar System scales MOG predicts retrograde secular precessions of the planetary longitudes of the perihelia ̟ whose existence has been put on the test here by taking the ratios of the estimated ...