Modified gravity with an exponential function of curvature

Generalized Curvature-Matter Couplings in Modified Gravity

In this work, we review a plethora of modified theories of gravity with generalized curvature-matter couplings. The explicit nonminimal couplings, for instance, between an arbitrary function of the scalar curvature R and the Lagrangian density of matter, induces a non-vanishing covariant derivative of the energy-momentum tensor, implying non-geodesic motion and, consequently, leads to the appea...

Inverse Curvature Gravity with Supernovae

We show that the current accelerated expansion of the Universe can be explained without resorting to dark energy. Models of generalized modified gravity, with inverse powers of the curvature can have late time accelerating attractors without conflicting with solar system experiments. We have solved the Friedman equations for the full dynamical range of the evolution of the Universe. This allows...

Inversion of gravity data with an exponential density contrast model

We have derived an analytical expression in the wavenumber domain for calculating the gravity anomaly caused by an exponential density contrast model for an interface (Xia and Sprowl, 1990), above which the density contrast changes exponentially with depth. Constant density contrast and a linear density contrast are specific cases of the exponential density contrast model. The formula should be...

Palatini formulation of modified gravity with a nonminimal curvature-matter coupling

Option Pricing with an Exponential Effect Function

We consider option hedging and pricing for a large agent. The large agent affects the market’s demand-supply equilibrium and, therefore, the market prices of financial instruments. By assuming a specific large agent’s effect function for the underlying asset we derive the corresponding effect function for call options on that asset. As we show, the price of a call option in our model is the sol...