There is one with no oil
5 eggs, separated
225g brown sugar
juice and grated rind of 1/2 lemon
275g ground almonds
250g carrots, peeled and grated
60g gluten free flour, sifted ..or rice flour or common or garden flour .
1 tsp baking powder
Preheat oven to 180C/Gas 4
Grease and line a 9" square cake tin. Beat together the egg yolks and sugar until pale and creamy. Fold in the lemon juice and zest, ground almonds, carrots, flour and baking powder. Beat the egg whites until stiff, then fold into the mixture . Pour into the prepared tin and bake for 45 minutes, put on a rack.. leave to cool.
You can drizzle it with thin lemon icing made with 100g sifted icing sugar, the juice of half a lemon and a tablespoon or so of water. Or make a cream cheese frosting on the top ...or cut it half and put the cream cheese in the middle .