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2 votes
0 answers
33 views

Second-order equations of motion for higher derivative gravity?

We know that Lovelock gravity is the most general theory of gravity possible for Lagrangians which depend only on the metric tensor and the Riemann tensor \begin{equation*} L = L \left(g_{\alpha\beta},...
Ishan Deo's user avatar
  • 1,588
2 votes
0 answers
75 views

Variational description of modified Einstein equations

Let us suppose that we have an Einstein equation of the form $$ R_{(\mu \nu)}-\frac{1}{2} g_{\mu \nu} R=8\pi T_{\mu \nu},$$ where $R$ is an affine connection, which differs from the Levi-Civita ...
ProphetX's user avatar
  • 689
4 votes
0 answers
110 views

Effective field theories in curved spacetime

Loosely speaking, in flat spacetime, one defines the effective Lagrangian by writing down all possible operators compatible with the symmetries and suppressed by some energy scale, and one usually ...
Joel's user avatar
  • 305