# Stability of spherically symmetric solutions in modified theories of gravity

@article{Seifert2007StabilityOS, title={Stability of spherically symmetric solutions in modified theories of gravity}, author={Michael Seifert}, journal={Physical Review D}, year={2007}, volume={76}, pages={064002} }

In recent years, a number of alternative theories of gravity have been proposed as possible resolutions of certain cosmological problems or as toy models for possible but heretofore unobserved effects. However, the implications of such theories for the stability of structures such as stars have not been fully investigated. We use our ``generalized variational principle,'' described in a previous work [M. D. Seifert and R. M. Wald, Phys. Rev. D 75, 084029 (2007)], to analyze the stability of… Expand

#### 80 Citations

Stable, accelerating universes in modified-gravity theories

- Physics
- 2008

Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action\char22{}collectively known as $f(R)$ theories\char22{}have been studied in great detail.… Expand

Geometry of modified Newtonian dynamics

- Physics
- 2012

Modified Newtonian Dynamics is an empirical modification to Poisson's equation which has had success in accounting for the `gravitational field' $\Phi$ in a variety of astrophysical systems. The… Expand

Linear stability of the new relativistic theory of modified Newtonian dynamics

- Physics
- 2021

We have recently proposed a simple relativistic theory which reduces to Modified Newtonian Dynamics (MOND) for the weak-field quasistatic situations applied to galaxies, and to cosmological behaviour… Expand

The existence of relativistic stars in f(R) gravity

- Physics
- 2009

We refute recent claims in the literature that stars with relativistically deep potentials cannot exist in f(R) gravity. Numerical examples of stable stars, including relativistic (GM⋆/r⋆ � 0.1),… Expand

f(R) Theories Of Gravity

- Physics
- 2010

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology, and astrophysics. Among numerous alternatives to Einstein's… Expand

Modified Gravity and Cosmology

- Physics
- 2012

Abstract In this review we present a thoroughly comprehensive survey of recent work on modified theories of gravity and their cosmological consequences. Amongst other things, we cover General… Expand

Unified cosmic history in modified gravity: From F ( R ) theory to Lorentz non-invariant models

- Physics
- 2010

Classical generalization of general relativity is considered as gravitational alternative for unified description of the early-time inflation with late-time cosmic acceleration. The structure and… Expand

Spherically symmetric Einstein-aether perfect fluid models

- Physics
- 2015

We investigate spherically symmetric cosmological models in Einstein-aether theory with a tilted (non-comoving) perfect fluid source. We use a 1+3 frame formalism and adopt the comoving aether gauge… Expand

TOPICAL REVIEW: The tensor-vector-scalar theory and its cosmology

- Physics
- 2009

Over the last few decades, astronomers and cosmologists have accumulated vast amounts of data clearly demonstrating that our current theories of fundamental particles and of gravity are inadequate to… Expand

Consistency of f(R) gravity models around solar polytropes

- Physics
- 2014

Abstract It is stated that a class of f ( R ) gravity models seem to obtain ΛCDM behavior for high redshifts and general relativistic behavior locally at high curvatures. In the present Letter, we… Expand

#### References

SHOWING 1-10 OF 44 REFERENCES

Spherically symmetric, static spacetimes in a tensor-vector-scalar theory

- Physics
- 2005

Recently, a relativistic gravitation theory has been proposed [J. D. Bekenstein, Phys. Rev. D 70, 083509 (2004)] that gives the modified Newtonian dynamics in the weak acceleration regime. The theory… Expand

Gravity with a dynamical preferred frame

- Physics
- 2001

We study a generally covariant model in which local Lorentz invariance is broken "spontaneously" by a dynamical unit timelike vector field $u^a$---the "aether". Such a model makes it possible to… Expand

General variational principle for spherically symmetric perturbations in diffeomorphism covariant theories

- Physics
- 2007

We present a general method for the analysis of the stability of static, spherically symmetric solutions to spherically symmetric perturbations in an arbitrary diffeomorphism covariant Lagrangian… Expand

Large scale structure in Bekenstein's theory of relativistic modified Newtonian dynamics.

- Physics, Medicine
- Physical review letters
- 2006

It is shown that it may be possible to reproduce observations of the cosmic microwave background and galaxy distributions with Bekenstein's theory of MOND, and the evolution of the scalar field is akin to that of tracker quintessence fields. Expand

Stability analysis of spherically symmetric star in scalar - tensor theories of gravity

- Physics
- 1997

A stability analysis of a spherically symmetric star in scalar-tensor theories of gravity is given in terms of the frequencies of quasi-normal modes. The scalar-tensor theories have a scalar field… Expand

Solar System constraints to general f(R) gravity

- Physics
- 2007

It has been proposed that cosmic acceleration or inflation can be driven by replacing the Einstein-Hilbert action of general relativity with a function f(R) of the Ricci scalar R. Such f(R) gravity… Expand

Relativistic gravitation theory for the MOND paradigm

- Physics
- 2004

The modified newtonian dynamics (MOND) paradigm of Milgrom can boast of a number of successful predictions regarding galactic dynamics; these are made without the assumption that dark matter plays a… Expand

Solar system tests do rule out 1/R gravity

- Physics
- 2006

Shortly after the addition of a 1/R term to the Einstein-Hilbert action was proposed as a solution to the cosmic-acceleration puzzle, Chiba showed that such a theory violates Solar System tests of… Expand

Behavior of f ( R ) gravity in the solar system, galaxies, and clusters

- Physics
- 2007

For cosmologically interesting f(R) gravity models, we derive the complete set of the linearized field equations in the Newtonian gauge, under environments of the solar system, galaxies, and… Expand

The modified Newtonian dynamics—MOND and its implications for new physics

- Physics
- 2006

No more salient issue exists in contemporary astrophysics and cosmology than that of the elusive ‘dark matter’. For many years already Milgrom's paradigm of modified Newtonian dynamics (MOND) has… Expand